QPLIB

A Library of Quadratic Programming Instances

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QPLIB_3588

Formats gms lp mod qplib
Problem type probtype LMQ
Solution point objective value solobjvalue -1.12953079 (gdx, sol)
Solution point infeasibility solinfeasibility 4.4409e-16
Donor donor Stefan Vigerske
#Variables nvars 992
#Binary Variables nbinvars 600
#Integer Variables nintvars 0
#Bounded non-binary Variables nboundedvars 0
#Variables with only one bound nsingleboundedvars 392
#Nonlinear Variables nnlvars 968
#Nonlinear Binary Variables nnlbinvars 576
#Nonlinear Integer Variables nnlintvars 0
Objective Sense objsense min
Objective type objtype linear
Objective curvature objcurvature linear
#Negative eigenvalues in objective matrix nobjquadnegev  
#Positive eigenvalues in objective matrix nobjquadposev  
#Nonzeros in Objective nobjnz 1
#Nonlinear Nonzeros in Objective nobjnlnz 0
#Quadratic Terms in Objective nobjquadnz 0
#Square Terms in Objective nobjquaddiagnz 0
#Constraints ncons 633
#Linear Constraints nlincons 49
#Quadratic Constraints nquadcons 584
#Diagonal Quadratic Constraints ndiagquadcons 0
Constraints curvature conscurvature indefinite
#Convex Nonlinear Constraints nconvexnlcons 0
#Concave Nonlinear Constraints nconcavenlcons 0
#Indefinite Nonlinear Constraints nindefinitenlcons 584
#Nonzeros in Jacobian njacobiannz 6360
#Nonlinear Nonzeros in Jacobian njacobiannlnz 4944
#Nonzeros in (Upper-Left) Hessian of Lagrangian nlaghessiannz 1920
#Nonzeros in Diagonal of Hessian of Lagrangian nlaghessiandiagnz 0
#Blocks in Hessian of Lagrangian nlaghessianblocks 8
Minimal blocksize in Hessian of Lagrangian laghessianminblocksize 49
Maximal blocksize in Hessian of Lagrangian laghessianmaxblocksize 625
Average blocksize in Hessian of Lagrangian laghessianavgblocksize 121.0
Sparsity Jacobian
Sparsity Lag. Hessian

QPLIB_3588.gms

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*        634      418        0      216        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        993      393      600        0        0        0        0        0
*  FX      0        0        0        0        0        0        0        0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       6362     1418     4944        0
*
*  Solve m using MIQCP minimizing objvar;


Variables  objvar,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17,x18
          ,x19,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34,x35
          ,x36,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51,x52
          ,x53,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68,x69
          ,x70,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85,x86
          ,x87,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101,x102
          ,x103,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114,x115
          ,x116,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127,x128
          ,x129,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140,x141
          ,x142,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153,x154
          ,x155,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166,x167
          ,x168,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179,x180
          ,x181,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192,x193
          ,x194,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205,x206
          ,x207,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218,x219
          ,x220,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231,x232
          ,x233,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244,x245
          ,x246,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257,x258
          ,x259,x260,x261,x262,x263,x264,x265,x266,x267,x268,x269,x270,x271
          ,x272,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283,x284
          ,x285,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296,x297
          ,x298,x299,x300,x301,x302,x303,x304,x305,x306,x307,x308,x309,x310
          ,x311,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322,x323
          ,x324,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334,x335,x336
          ,x337,x338,x339,x340,x341,x342,x343,x344,x345,x346,x347,x348,x349
          ,x350,x351,x352,x353,x354,x355,x356,x357,x358,x359,x360,x361,x362
          ,x363,x364,x365,x366,x367,x368,x369,x370,x371,x372,x373,x374,x375
          ,x376,x377,x378,x379,x380,x381,x382,x383,x384,x385,x386,x387,x388
          ,x389,x390,x391,x392,x393,b394,b395,b396,b397,b398,b399,b400,b401
          ,b402,b403,b404,b405,b406,b407,b408,b409,b410,b411,b412,b413,b414
          ,b415,b416,b417,b418,b419,b420,b421,b422,b423,b424,b425,b426,b427
          ,b428,b429,b430,b431,b432,b433,b434,b435,b436,b437,b438,b439,b440
          ,b441,b442,b443,b444,b445,b446,b447,b448,b449,b450,b451,b452,b453
          ,b454,b455,b456,b457,b458,b459,b460,b461,b462,b463,b464,b465,b466
          ,b467,b468,b469,b470,b471,b472,b473,b474,b475,b476,b477,b478,b479
          ,b480,b481,b482,b483,b484,b485,b486,b487,b488,b489,b490,b491,b492
          ,b493,b494,b495,b496,b497,b498,b499,b500,b501,b502,b503,b504,b505
          ,b506,b507,b508,b509,b510,b511,b512,b513,b514,b515,b516,b517,b518
          ,b519,b520,b521,b522,b523,b524,b525,b526,b527,b528,b529,b530,b531
          ,b532,b533,b534,b535,b536,b537,b538,b539,b540,b541,b542,b543,b544
          ,b545,b546,b547,b548,b549,b550,b551,b552,b553,b554,b555,b556,b557
          ,b558,b559,b560,b561,b562,b563,b564,b565,b566,b567,b568,b569,b570
          ,b571,b572,b573,b574,b575,b576,b577,b578,b579,b580,b581,b582,b583
          ,b584,b585,b586,b587,b588,b589,b590,b591,b592,b593,b594,b595,b596
          ,b597,b598,b599,b600,b601,b602,b603,b604,b605,b606,b607,b608,b609
          ,b610,b611,b612,b613,b614,b615,b616,b617,b618,b619,b620,b621,b622
          ,b623,b624,b625,b626,b627,b628,b629,b630,b631,b632,b633,b634,b635
          ,b636,b637,b638,b639,b640,b641,b642,b643,b644,b645,b646,b647,b648
          ,b649,b650,b651,b652,b653,b654,b655,b656,b657,b658,b659,b660,b661
          ,b662,b663,b664,b665,b666,b667,b668,b669,b670,b671,b672,b673,b674
          ,b675,b676,b677,b678,b679,b680,b681,b682,b683,b684,b685,b686,b687
          ,b688,b689,b690,b691,b692,b693,b694,b695,b696,b697,b698,b699,b700
          ,b701,b702,b703,b704,b705,b706,b707,b708,b709,b710,b711,b712,b713
          ,b714,b715,b716,b717,b718,b719,b720,b721,b722,b723,b724,b725,b726
          ,b727,b728,b729,b730,b731,b732,b733,b734,b735,b736,b737,b738,b739
          ,b740,b741,b742,b743,b744,b745,b746,b747,b748,b749,b750,b751,b752
          ,b753,b754,b755,b756,b757,b758,b759,b760,b761,b762,b763,b764,b765
          ,b766,b767,b768,b769,b770,b771,b772,b773,b774,b775,b776,b777,b778
          ,b779,b780,b781,b782,b783,b784,b785,b786,b787,b788,b789,b790,b791
          ,b792,b793,b794,b795,b796,b797,b798,b799,b800,b801,b802,b803,b804
          ,b805,b806,b807,b808,b809,b810,b811,b812,b813,b814,b815,b816,b817
          ,b818,b819,b820,b821,b822,b823,b824,b825,b826,b827,b828,b829,b830
          ,b831,b832,b833,b834,b835,b836,b837,b838,b839,b840,b841,b842,b843
          ,b844,b845,b846,b847,b848,b849,b850,b851,b852,b853,b854,b855,b856
          ,b857,b858,b859,b860,b861,b862,b863,b864,b865,b866,b867,b868,b869
          ,b870,b871,b872,b873,b874,b875,b876,b877,b878,b879,b880,b881,b882
          ,b883,b884,b885,b886,b887,b888,b889,b890,b891,b892,b893,b894,b895
          ,b896,b897,b898,b899,b900,b901,b902,b903,b904,b905,b906,b907,b908
          ,b909,b910,b911,b912,b913,b914,b915,b916,b917,b918,b919,b920,b921
          ,b922,b923,b924,b925,b926,b927,b928,b929,b930,b931,b932,b933,b934
          ,b935,b936,b937,b938,b939,b940,b941,b942,b943,b944,b945,b946,b947
          ,b948,b949,b950,b951,b952,b953,b954,b955,b956,b957,b958,b959,b960
          ,b961,b962,b963,b964,b965,b966,b967,b968,b969,b970,b971,b972,b973
          ,b974,b975,b976,b977,b978,b979,b980,b981,b982,b983,b984,b985,b986
          ,b987,b988,b989,b990,b991,b992,b993;

Positive Variables  x194,x195,x196,x197,x198,x199,x200,x201;

Binary Variables  b394,b395,b396,b397,b398,b399,b400,b401,b402,b403,b404,b405
          ,b406,b407,b408,b409,b410,b411,b412,b413,b414,b415,b416,b417,b418
          ,b419,b420,b421,b422,b423,b424,b425,b426,b427,b428,b429,b430,b431
          ,b432,b433,b434,b435,b436,b437,b438,b439,b440,b441,b442,b443,b444
          ,b445,b446,b447,b448,b449,b450,b451,b452,b453,b454,b455,b456,b457
          ,b458,b459,b460,b461,b462,b463,b464,b465,b466,b467,b468,b469,b470
          ,b471,b472,b473,b474,b475,b476,b477,b478,b479,b480,b481,b482,b483
          ,b484,b485,b486,b487,b488,b489,b490,b491,b492,b493,b494,b495,b496
          ,b497,b498,b499,b500,b501,b502,b503,b504,b505,b506,b507,b508,b509
          ,b510,b511,b512,b513,b514,b515,b516,b517,b518,b519,b520,b521,b522
          ,b523,b524,b525,b526,b527,b528,b529,b530,b531,b532,b533,b534,b535
          ,b536,b537,b538,b539,b540,b541,b542,b543,b544,b545,b546,b547,b548
          ,b549,b550,b551,b552,b553,b554,b555,b556,b557,b558,b559,b560,b561
          ,b562,b563,b564,b565,b566,b567,b568,b569,b570,b571,b572,b573,b574
          ,b575,b576,b577,b578,b579,b580,b581,b582,b583,b584,b585,b586,b587
          ,b588,b589,b590,b591,b592,b593,b594,b595,b596,b597,b598,b599,b600
          ,b601,b602,b603,b604,b605,b606,b607,b608,b609,b610,b611,b612,b613
          ,b614,b615,b616,b617,b618,b619,b620,b621,b622,b623,b624,b625,b626
          ,b627,b628,b629,b630,b631,b632,b633,b634,b635,b636,b637,b638,b639
          ,b640,b641,b642,b643,b644,b645,b646,b647,b648,b649,b650,b651,b652
          ,b653,b654,b655,b656,b657,b658,b659,b660,b661,b662,b663,b664,b665
          ,b666,b667,b668,b669,b670,b671,b672,b673,b674,b675,b676,b677,b678
          ,b679,b680,b681,b682,b683,b684,b685,b686,b687,b688,b689,b690,b691
          ,b692,b693,b694,b695,b696,b697,b698,b699,b700,b701,b702,b703,b704
          ,b705,b706,b707,b708,b709,b710,b711,b712,b713,b714,b715,b716,b717
          ,b718,b719,b720,b721,b722,b723,b724,b725,b726,b727,b728,b729,b730
          ,b731,b732,b733,b734,b735,b736,b737,b738,b739,b740,b741,b742,b743
          ,b744,b745,b746,b747,b748,b749,b750,b751,b752,b753,b754,b755,b756
          ,b757,b758,b759,b760,b761,b762,b763,b764,b765,b766,b767,b768,b769
          ,b770,b771,b772,b773,b774,b775,b776,b777,b778,b779,b780,b781,b782
          ,b783,b784,b785,b786,b787,b788,b789,b790,b791,b792,b793,b794,b795
          ,b796,b797,b798,b799,b800,b801,b802,b803,b804,b805,b806,b807,b808
          ,b809,b810,b811,b812,b813,b814,b815,b816,b817,b818,b819,b820,b821
          ,b822,b823,b824,b825,b826,b827,b828,b829,b830,b831,b832,b833,b834
          ,b835,b836,b837,b838,b839,b840,b841,b842,b843,b844,b845,b846,b847
          ,b848,b849,b850,b851,b852,b853,b854,b855,b856,b857,b858,b859,b860
          ,b861,b862,b863,b864,b865,b866,b867,b868,b869,b870,b871,b872,b873
          ,b874,b875,b876,b877,b878,b879,b880,b881,b882,b883,b884,b885,b886
          ,b887,b888,b889,b890,b891,b892,b893,b894,b895,b896,b897,b898,b899
          ,b900,b901,b902,b903,b904,b905,b906,b907,b908,b909,b910,b911,b912
          ,b913,b914,b915,b916,b917,b918,b919,b920,b921,b922,b923,b924,b925
          ,b926,b927,b928,b929,b930,b931,b932,b933,b934,b935,b936,b937,b938
          ,b939,b940,b941,b942,b943,b944,b945,b946,b947,b948,b949,b950,b951
          ,b952,b953,b954,b955,b956,b957,b958,b959,b960,b961,b962,b963,b964
          ,b965,b966,b967,b968,b969,b970,b971,b972,b973,b974,b975,b976,b977
          ,b978,b979,b980,b981,b982,b983,b984,b985,b986,b987,b988,b989,b990
          ,b991,b992,b993;

Equations  e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17,e18,e19
          ,e20,e21,e22,e23,e24,e25,e26,e27,e28,e29,e30,e31,e32,e33,e34,e35,e36
          ,e37,e38,e39,e40,e41,e42,e43,e44,e45,e46,e47,e48,e49,e50,e51,e52,e53
          ,e54,e55,e56,e57,e58,e59,e60,e61,e62,e63,e64,e65,e66,e67,e68,e69,e70
          ,e71,e72,e73,e74,e75,e76,e77,e78,e79,e80,e81,e82,e83,e84,e85,e86,e87
          ,e88,e89,e90,e91,e92,e93,e94,e95,e96,e97,e98,e99,e100,e101,e102,e103
          ,e104,e105,e106,e107,e108,e109,e110,e111,e112,e113,e114,e115,e116
          ,e117,e118,e119,e120,e121,e122,e123,e124,e125,e126,e127,e128,e129
          ,e130,e131,e132,e133,e134,e135,e136,e137,e138,e139,e140,e141,e142
          ,e143,e144,e145,e146,e147,e148,e149,e150,e151,e152,e153,e154,e155
          ,e156,e157,e158,e159,e160,e161,e162,e163,e164,e165,e166,e167,e168
          ,e169,e170,e171,e172,e173,e174,e175,e176,e177,e178,e179,e180,e181
          ,e182,e183,e184,e185,e186,e187,e188,e189,e190,e191,e192,e193,e194
          ,e195,e196,e197,e198,e199,e200,e201,e202,e203,e204,e205,e206,e207
          ,e208,e209,e210,e211,e212,e213,e214,e215,e216,e217,e218,e219,e220
          ,e221,e222,e223,e224,e225,e226,e227,e228,e229,e230,e231,e232,e233
          ,e234,e235,e236,e237,e238,e239,e240,e241,e242,e243,e244,e245,e246
          ,e247,e248,e249,e250,e251,e252,e253,e254,e255,e256,e257,e258,e259
          ,e260,e261,e262,e263,e264,e265,e266,e267,e268,e269,e270,e271,e272
          ,e273,e274,e275,e276,e277,e278,e279,e280,e281,e282,e283,e284,e285
          ,e286,e287,e288,e289,e290,e291,e292,e293,e294,e295,e296,e297,e298
          ,e299,e300,e301,e302,e303,e304,e305,e306,e307,e308,e309,e310,e311
          ,e312,e313,e314,e315,e316,e317,e318,e319,e320,e321,e322,e323,e324
          ,e325,e326,e327,e328,e329,e330,e331,e332,e333,e334,e335,e336,e337
          ,e338,e339,e340,e341,e342,e343,e344,e345,e346,e347,e348,e349,e350
          ,e351,e352,e353,e354,e355,e356,e357,e358,e359,e360,e361,e362,e363
          ,e364,e365,e366,e367,e368,e369,e370,e371,e372,e373,e374,e375,e376
          ,e377,e378,e379,e380,e381,e382,e383,e384,e385,e386,e387,e388,e389
          ,e390,e391,e392,e393,e394,e395,e396,e397,e398,e399,e400,e401,e402
          ,e403,e404,e405,e406,e407,e408,e409,e410,e411,e412,e413,e414,e415
          ,e416,e417,e418,e419,e420,e421,e422,e423,e424,e425,e426,e427,e428
          ,e429,e430,e431,e432,e433,e434,e435,e436,e437,e438,e439,e440,e441
          ,e442,e443,e444,e445,e446,e447,e448,e449,e450,e451,e452,e453,e454
          ,e455,e456,e457,e458,e459,e460,e461,e462,e463,e464,e465,e466,e467
          ,e468,e469,e470,e471,e472,e473,e474,e475,e476,e477,e478,e479,e480
          ,e481,e482,e483,e484,e485,e486,e487,e488,e489,e490,e491,e492,e493
          ,e494,e495,e496,e497,e498,e499,e500,e501,e502,e503,e504,e505,e506
          ,e507,e508,e509,e510,e511,e512,e513,e514,e515,e516,e517,e518,e519
          ,e520,e521,e522,e523,e524,e525,e526,e527,e528,e529,e530,e531,e532
          ,e533,e534,e535,e536,e537,e538,e539,e540,e541,e542,e543,e544,e545
          ,e546,e547,e548,e549,e550,e551,e552,e553,e554,e555,e556,e557,e558
          ,e559,e560,e561,e562,e563,e564,e565,e566,e567,e568,e569,e570,e571
          ,e572,e573,e574,e575,e576,e577,e578,e579,e580,e581,e582,e583,e584
          ,e585,e586,e587,e588,e589,e590,e591,e592,e593,e594,e595,e596,e597
          ,e598,e599,e600,e601,e602,e603,e604,e605,e606,e607,e608,e609,e610
          ,e611,e612,e613,e614,e615,e616,e617,e618,e619,e620,e621,e622,e623
          ,e624,e625,e626,e627,e628,e629,e630,e631,e632,e633,e634;


e1..  - objvar - x201 =E= 0;

e2..    b394 + b395 + b396 + b397 + b398 + b399 + b400 + b401 + b402 + b403
      + b404 + b405 + b406 + b407 + b408 + b409 + b410 + b411 + b412 + b413
      + b414 + b415 + b416 + b417 + b418 =E= 1;

e3..    b419 + b420 + b421 + b422 + b423 + b424 + b425 + b426 + b427 + b428
      + b429 + b430 + b431 + b432 + b433 + b434 + b435 + b436 + b437 + b438
      + b439 + b440 + b441 + b442 + b443 =E= 1;

e4..    b444 + b445 + b446 + b447 + b448 + b449 + b450 + b451 + b452 + b453
      + b454 + b455 + b456 + b457 + b458 + b459 + b460 + b461 + b462 + b463
      + b464 + b465 + b466 + b467 + b468 =E= 1;

e5..    b469 + b470 + b471 + b472 + b473 + b474 + b475 + b476 + b477 + b478
      + b479 + b480 + b481 + b482 + b483 + b484 + b485 + b486 + b487 + b488
      + b489 + b490 + b491 + b492 + b493 =E= 1;

e6..    b494 + b495 + b496 + b497 + b498 + b499 + b500 + b501 + b502 + b503
      + b504 + b505 + b506 + b507 + b508 + b509 + b510 + b511 + b512 + b513
      + b514 + b515 + b516 + b517 + b518 =E= 1;

e7..    b519 + b520 + b521 + b522 + b523 + b524 + b525 + b526 + b527 + b528
      + b529 + b530 + b531 + b532 + b533 + b534 + b535 + b536 + b537 + b538
      + b539 + b540 + b541 + b542 + b543 =E= 1;

e8..    b544 + b545 + b546 + b547 + b548 + b549 + b550 + b551 + b552 + b553
      + b554 + b555 + b556 + b557 + b558 + b559 + b560 + b561 + b562 + b563
      + b564 + b565 + b566 + b567 + b568 =E= 1;

e9..    b569 + b570 + b571 + b572 + b573 + b574 + b575 + b576 + b577 + b578
      + b579 + b580 + b581 + b582 + b583 + b584 + b585 + b586 + b587 + b588
      + b589 + b590 + b591 + b592 + b593 =E= 1;

e10..    b594 + b595 + b596 + b597 + b598 + b599 + b600 + b601 + b602 + b603
       + b604 + b605 + b606 + b607 + b608 + b609 + b610 + b611 + b612 + b613
       + b614 + b615 + b616 + b617 + b618 =E= 1;

e11..    b619 + b620 + b621 + b622 + b623 + b624 + b625 + b626 + b627 + b628
       + b629 + b630 + b631 + b632 + b633 + b634 + b635 + b636 + b637 + b638
       + b639 + b640 + b641 + b642 + b643 =E= 1;

e12..    b644 + b645 + b646 + b647 + b648 + b649 + b650 + b651 + b652 + b653
       + b654 + b655 + b656 + b657 + b658 + b659 + b660 + b661 + b662 + b663
       + b664 + b665 + b666 + b667 + b668 =E= 1;

e13..    b669 + b670 + b671 + b672 + b673 + b674 + b675 + b676 + b677 + b678
       + b679 + b680 + b681 + b682 + b683 + b684 + b685 + b686 + b687 + b688
       + b689 + b690 + b691 + b692 + b693 =E= 1;

e14..    b694 + b695 + b696 + b697 + b698 + b699 + b700 + b701 + b702 + b703
       + b704 + b705 + b706 + b707 + b708 + b709 + b710 + b711 + b712 + b713
       + b714 + b715 + b716 + b717 + b718 =E= 1;

e15..    b719 + b720 + b721 + b722 + b723 + b724 + b725 + b726 + b727 + b728
       + b729 + b730 + b731 + b732 + b733 + b734 + b735 + b736 + b737 + b738
       + b739 + b740 + b741 + b742 + b743 =E= 1;

e16..    b744 + b745 + b746 + b747 + b748 + b749 + b750 + b751 + b752 + b753
       + b754 + b755 + b756 + b757 + b758 + b759 + b760 + b761 + b762 + b763
       + b764 + b765 + b766 + b767 + b768 =E= 1;

e17..    b769 + b770 + b771 + b772 + b773 + b774 + b775 + b776 + b777 + b778
       + b779 + b780 + b781 + b782 + b783 + b784 + b785 + b786 + b787 + b788
       + b789 + b790 + b791 + b792 + b793 =E= 1;

e18..    b794 + b795 + b796 + b797 + b798 + b799 + b800 + b801 + b802 + b803
       + b804 + b805 + b806 + b807 + b808 + b809 + b810 + b811 + b812 + b813
       + b814 + b815 + b816 + b817 + b818 =E= 1;

e19..    b819 + b820 + b821 + b822 + b823 + b824 + b825 + b826 + b827 + b828
       + b829 + b830 + b831 + b832 + b833 + b834 + b835 + b836 + b837 + b838
       + b839 + b840 + b841 + b842 + b843 =E= 1;

e20..    b844 + b845 + b846 + b847 + b848 + b849 + b850 + b851 + b852 + b853
       + b854 + b855 + b856 + b857 + b858 + b859 + b860 + b861 + b862 + b863
       + b864 + b865 + b866 + b867 + b868 =E= 1;

e21..    b869 + b870 + b871 + b872 + b873 + b874 + b875 + b876 + b877 + b878
       + b879 + b880 + b881 + b882 + b883 + b884 + b885 + b886 + b887 + b888
       + b889 + b890 + b891 + b892 + b893 =E= 1;

e22..    b894 + b895 + b896 + b897 + b898 + b899 + b900 + b901 + b902 + b903
       + b904 + b905 + b906 + b907 + b908 + b909 + b910 + b911 + b912 + b913
       + b914 + b915 + b916 + b917 + b918 =E= 1;

e23..    b919 + b920 + b921 + b922 + b923 + b924 + b925 + b926 + b927 + b928
       + b929 + b930 + b931 + b932 + b933 + b934 + b935 + b936 + b937 + b938
       + b939 + b940 + b941 + b942 + b943 =E= 1;

e24..    b944 + b945 + b946 + b947 + b948 + b949 + b950 + b951 + b952 + b953
       + b954 + b955 + b956 + b957 + b958 + b959 + b960 + b961 + b962 + b963
       + b964 + b965 + b966 + b967 + b968 =E= 1;

e25..    b969 + b970 + b971 + b972 + b973 + b974 + b975 + b976 + b977 + b978
       + b979 + b980 + b981 + b982 + b983 + b984 + b985 + b986 + b987 + b988
       + b989 + b990 + b991 + b992 + b993 =E= 1;

e26..    b395 + b420 + b445 + b470 + b495 + b520 + b545 + b570 + b595 + b620
       + b645 + b670 + b695 + b720 + b745 + b770 + b795 + b820 + b845 + b870
       + b895 + b920 + b945 + b970 =L= 1;

e27..    b396 + b421 + b446 + b471 + b496 + b521 + b546 + b571 + b596 + b621
       + b646 + b671 + b696 + b721 + b746 + b771 + b796 + b821 + b846 + b871
       + b896 + b921 + b946 + b971 =L= 1;

e28..    b397 + b422 + b447 + b472 + b497 + b522 + b547 + b572 + b597 + b622
       + b647 + b672 + b697 + b722 + b747 + b772 + b797 + b822 + b847 + b872
       + b897 + b922 + b947 + b972 =L= 1;

e29..    b398 + b423 + b448 + b473 + b498 + b523 + b548 + b573 + b598 + b623
       + b648 + b673 + b698 + b723 + b748 + b773 + b798 + b823 + b848 + b873
       + b898 + b923 + b948 + b973 =L= 1;

e30..    b399 + b424 + b449 + b474 + b499 + b524 + b549 + b574 + b599 + b624
       + b649 + b674 + b699 + b724 + b749 + b774 + b799 + b824 + b849 + b874
       + b899 + b924 + b949 + b974 =L= 1;

e31..    b400 + b425 + b450 + b475 + b500 + b525 + b550 + b575 + b600 + b625
       + b650 + b675 + b700 + b725 + b750 + b775 + b800 + b825 + b850 + b875
       + b900 + b925 + b950 + b975 =L= 1;

e32..    b401 + b426 + b451 + b476 + b501 + b526 + b551 + b576 + b601 + b626
       + b651 + b676 + b701 + b726 + b751 + b776 + b801 + b826 + b851 + b876
       + b901 + b926 + b951 + b976 =L= 1;

e33..    b402 + b427 + b452 + b477 + b502 + b527 + b552 + b577 + b602 + b627
       + b652 + b677 + b702 + b727 + b752 + b777 + b802 + b827 + b852 + b877
       + b902 + b927 + b952 + b977 =L= 1;

e34..    b403 + b428 + b453 + b478 + b503 + b528 + b553 + b578 + b603 + b628
       + b653 + b678 + b703 + b728 + b753 + b778 + b803 + b828 + b853 + b878
       + b903 + b928 + b953 + b978 =L= 1;

e35..    b404 + b429 + b454 + b479 + b504 + b529 + b554 + b579 + b604 + b629
       + b654 + b679 + b704 + b729 + b754 + b779 + b804 + b829 + b854 + b879
       + b904 + b929 + b954 + b979 =L= 1;

e36..    b405 + b430 + b455 + b480 + b505 + b530 + b555 + b580 + b605 + b630
       + b655 + b680 + b705 + b730 + b755 + b780 + b805 + b830 + b855 + b880
       + b905 + b930 + b955 + b980 =L= 1;

e37..    b406 + b431 + b456 + b481 + b506 + b531 + b556 + b581 + b606 + b631
       + b656 + b681 + b706 + b731 + b756 + b781 + b806 + b831 + b856 + b881
       + b906 + b931 + b956 + b981 =L= 1;

e38..    b407 + b432 + b457 + b482 + b507 + b532 + b557 + b582 + b607 + b632
       + b657 + b682 + b707 + b732 + b757 + b782 + b807 + b832 + b857 + b882
       + b907 + b932 + b957 + b982 =L= 1;

e39..    b408 + b433 + b458 + b483 + b508 + b533 + b558 + b583 + b608 + b633
       + b658 + b683 + b708 + b733 + b758 + b783 + b808 + b833 + b858 + b883
       + b908 + b933 + b958 + b983 =L= 1;

e40..    b409 + b434 + b459 + b484 + b509 + b534 + b559 + b584 + b609 + b634
       + b659 + b684 + b709 + b734 + b759 + b784 + b809 + b834 + b859 + b884
       + b909 + b934 + b959 + b984 =L= 1;

e41..    b410 + b435 + b460 + b485 + b510 + b535 + b560 + b585 + b610 + b635
       + b660 + b685 + b710 + b735 + b760 + b785 + b810 + b835 + b860 + b885
       + b910 + b935 + b960 + b985 =L= 1;

e42..    b411 + b436 + b461 + b486 + b511 + b536 + b561 + b586 + b611 + b636
       + b661 + b686 + b711 + b736 + b761 + b786 + b811 + b836 + b861 + b886
       + b911 + b936 + b961 + b986 =L= 1;

e43..    b412 + b437 + b462 + b487 + b512 + b537 + b562 + b587 + b612 + b637
       + b662 + b687 + b712 + b737 + b762 + b787 + b812 + b837 + b862 + b887
       + b912 + b937 + b962 + b987 =L= 1;

e44..    b413 + b438 + b463 + b488 + b513 + b538 + b563 + b588 + b613 + b638
       + b663 + b688 + b713 + b738 + b763 + b788 + b813 + b838 + b863 + b888
       + b913 + b938 + b963 + b988 =L= 1;

e45..    b414 + b439 + b464 + b489 + b514 + b539 + b564 + b589 + b614 + b639
       + b664 + b689 + b714 + b739 + b764 + b789 + b814 + b839 + b864 + b889
       + b914 + b939 + b964 + b989 =L= 1;

e46..    b415 + b440 + b465 + b490 + b515 + b540 + b565 + b590 + b615 + b640
       + b665 + b690 + b715 + b740 + b765 + b790 + b815 + b840 + b865 + b890
       + b915 + b940 + b965 + b990 =L= 1;

e47..    b416 + b441 + b466 + b491 + b516 + b541 + b566 + b591 + b616 + b641
       + b666 + b691 + b716 + b741 + b766 + b791 + b816 + b841 + b866 + b891
       + b916 + b941 + b966 + b991 =L= 1;

e48..    b417 + b442 + b467 + b492 + b517 + b542 + b567 + b592 + b617 + b642
       + b667 + b692 + b717 + b742 + b767 + b792 + b817 + b842 + b867 + b892
       + b917 + b942 + b967 + b992 =L= 1;

e49..    b418 + b443 + b468 + b493 + b518 + b543 + b568 + b593 + b618 + b643
       + b668 + b693 + b718 + b743 + b768 + b793 + b818 + b843 + b868 + b893
       + b918 + b943 + b968 + b993 =L= 1;

e50..    b394 + b419 + b444 + b469 + b494 + b519 + b544 + b569 + b594 + b619
       + b644 + b669 + b694 + b719 + b744 + b769 + b794 + b819 + b844 + b869
       + b894 + b919 + b944 + b969 =E= 6;

e51.. (-b395*x232) - b396*x239 - b397*x246 - b398*x253 - b399*x260 - b400*x267
       - b401*x274 - b402*x281 - b403*x288 - b404*x295 - b405*x302 - b406*x309
       - b407*x316 - b408*x323 - b409*x330 - b410*x337 - b411*x344 - b412*x351
       - b413*x358 - b414*x365 - b415*x372 - b416*x379 - b417*x386 - b418*x393
       + x202 - 1.2*b394 =E= 0;

e52.. (-b420*x232) - b421*x239 - b422*x246 - b423*x253 - b424*x260 - b425*x267
       - b426*x274 - b427*x281 - b428*x288 - b429*x295 - b430*x302 - b431*x309
       - b432*x316 - b433*x323 - b434*x330 - b435*x337 - b436*x344 - b437*x351
       - b438*x358 - b439*x365 - b440*x372 - b441*x379 - b442*x386 - b443*x393
       + x203 - 1.2*b419 =E= 0;

e53.. (-b445*x232) - b446*x239 - b447*x246 - b448*x253 - b449*x260 - b450*x267
       - b451*x274 - b452*x281 - b453*x288 - b454*x295 - b455*x302 - b456*x309
       - b457*x316 - b458*x323 - b459*x330 - b460*x337 - b461*x344 - b462*x351
       - b463*x358 - b464*x365 - b465*x372 - b466*x379 - b467*x386 - b468*x393
       + x204 - 1.2*b444 =E= 0;

e54.. (-b470*x232) - b471*x239 - b472*x246 - b473*x253 - b474*x260 - b475*x267
       - b476*x274 - b477*x281 - b478*x288 - b479*x295 - b480*x302 - b481*x309
       - b482*x316 - b483*x323 - b484*x330 - b485*x337 - b486*x344 - b487*x351
       - b488*x358 - b489*x365 - b490*x372 - b491*x379 - b492*x386 - b493*x393
       + x205 - 1.2*b469 =E= 0;

e55.. (-b495*x232) - b496*x239 - b497*x246 - b498*x253 - b499*x260 - b500*x267
       - b501*x274 - b502*x281 - b503*x288 - b504*x295 - b505*x302 - b506*x309
       - b507*x316 - b508*x323 - b509*x330 - b510*x337 - b511*x344 - b512*x351
       - b513*x358 - b514*x365 - b515*x372 - b516*x379 - b517*x386 - b518*x393
       + x206 - 1.2*b494 =E= 0;

e56.. (-b520*x232) - b521*x239 - b522*x246 - b523*x253 - b524*x260 - b525*x267
       - b526*x274 - b527*x281 - b528*x288 - b529*x295 - b530*x302 - b531*x309
       - b532*x316 - b533*x323 - b534*x330 - b535*x337 - b536*x344 - b537*x351
       - b538*x358 - b539*x365 - b540*x372 - b541*x379 - b542*x386 - b543*x393
       + x207 - 1.2*b519 =E= 0;

e57.. (-b545*x232) - b546*x239 - b547*x246 - b548*x253 - b549*x260 - b550*x267
       - b551*x274 - b552*x281 - b553*x288 - b554*x295 - b555*x302 - b556*x309
       - b557*x316 - b558*x323 - b559*x330 - b560*x337 - b561*x344 - b562*x351
       - b563*x358 - b564*x365 - b565*x372 - b566*x379 - b567*x386 - b568*x393
       + x208 - 1.2*b544 =E= 0;

e58.. (-b570*x232) - b571*x239 - b572*x246 - b573*x253 - b574*x260 - b575*x267
       - b576*x274 - b577*x281 - b578*x288 - b579*x295 - b580*x302 - b581*x309
       - b582*x316 - b583*x323 - b584*x330 - b585*x337 - b586*x344 - b587*x351
       - b588*x358 - b589*x365 - b590*x372 - b591*x379 - b592*x386 - b593*x393
       + x209 - 1.2*b569 =E= 0;

e59.. (-b595*x232) - b596*x239 - b597*x246 - b598*x253 - b599*x260 - b600*x267
       - b601*x274 - b602*x281 - b603*x288 - b604*x295 - b605*x302 - b606*x309
       - b607*x316 - b608*x323 - b609*x330 - b610*x337 - b611*x344 - b612*x351
       - b613*x358 - b614*x365 - b615*x372 - b616*x379 - b617*x386 - b618*x393
       + x210 - 1.2*b594 =E= 0;

e60.. (-b620*x232) - b621*x239 - b622*x246 - b623*x253 - b624*x260 - b625*x267
       - b626*x274 - b627*x281 - b628*x288 - b629*x295 - b630*x302 - b631*x309
       - b632*x316 - b633*x323 - b634*x330 - b635*x337 - b636*x344 - b637*x351
       - b638*x358 - b639*x365 - b640*x372 - b641*x379 - b642*x386 - b643*x393
       + x211 - 1.2*b619 =E= 0;

e61.. (-b645*x232) - b646*x239 - b647*x246 - b648*x253 - b649*x260 - b650*x267
       - b651*x274 - b652*x281 - b653*x288 - b654*x295 - b655*x302 - b656*x309
       - b657*x316 - b658*x323 - b659*x330 - b660*x337 - b661*x344 - b662*x351
       - b663*x358 - b664*x365 - b665*x372 - b666*x379 - b667*x386 - b668*x393
       + x212 - 1.2*b644 =E= 0;

e62.. (-b670*x232) - b671*x239 - b672*x246 - b673*x253 - b674*x260 - b675*x267
       - b676*x274 - b677*x281 - b678*x288 - b679*x295 - b680*x302 - b681*x309
       - b682*x316 - b683*x323 - b684*x330 - b685*x337 - b686*x344 - b687*x351
       - b688*x358 - b689*x365 - b690*x372 - b691*x379 - b692*x386 - b693*x393
       + x213 - 1.2*b669 =E= 0;

e63.. (-b695*x232) - b696*x239 - b697*x246 - b698*x253 - b699*x260 - b700*x267
       - b701*x274 - b702*x281 - b703*x288 - b704*x295 - b705*x302 - b706*x309
       - b707*x316 - b708*x323 - b709*x330 - b710*x337 - b711*x344 - b712*x351
       - b713*x358 - b714*x365 - b715*x372 - b716*x379 - b717*x386 - b718*x393
       + x214 - 1.2*b694 =E= 0;

e64.. (-b720*x232) - b721*x239 - b722*x246 - b723*x253 - b724*x260 - b725*x267
       - b726*x274 - b727*x281 - b728*x288 - b729*x295 - b730*x302 - b731*x309
       - b732*x316 - b733*x323 - b734*x330 - b735*x337 - b736*x344 - b737*x351
       - b738*x358 - b739*x365 - b740*x372 - b741*x379 - b742*x386 - b743*x393
       + x215 - 1.2*b719 =E= 0;

e65.. (-b745*x232) - b746*x239 - b747*x246 - b748*x253 - b749*x260 - b750*x267
       - b751*x274 - b752*x281 - b753*x288 - b754*x295 - b755*x302 - b756*x309
       - b757*x316 - b758*x323 - b759*x330 - b760*x337 - b761*x344 - b762*x351
       - b763*x358 - b764*x365 - b765*x372 - b766*x379 - b767*x386 - b768*x393
       + x216 - 1.2*b744 =E= 0;

e66.. (-b770*x232) - b771*x239 - b772*x246 - b773*x253 - b774*x260 - b775*x267
       - b776*x274 - b777*x281 - b778*x288 - b779*x295 - b780*x302 - b781*x309
       - b782*x316 - b783*x323 - b784*x330 - b785*x337 - b786*x344 - b787*x351
       - b788*x358 - b789*x365 - b790*x372 - b791*x379 - b792*x386 - b793*x393
       + x217 - 1.2*b769 =E= 0;

e67.. (-b795*x232) - b796*x239 - b797*x246 - b798*x253 - b799*x260 - b800*x267
       - b801*x274 - b802*x281 - b803*x288 - b804*x295 - b805*x302 - b806*x309
       - b807*x316 - b808*x323 - b809*x330 - b810*x337 - b811*x344 - b812*x351
       - b813*x358 - b814*x365 - b815*x372 - b816*x379 - b817*x386 - b818*x393
       + x218 - 1.2*b794 =E= 0;

e68.. (-b820*x232) - b821*x239 - b822*x246 - b823*x253 - b824*x260 - b825*x267
       - b826*x274 - b827*x281 - b828*x288 - b829*x295 - b830*x302 - b831*x309
       - b832*x316 - b833*x323 - b834*x330 - b835*x337 - b836*x344 - b837*x351
       - b838*x358 - b839*x365 - b840*x372 - b841*x379 - b842*x386 - b843*x393
       + x219 - 1.2*b819 =E= 0;

e69.. (-b845*x232) - b846*x239 - b847*x246 - b848*x253 - b849*x260 - b850*x267
       - b851*x274 - b852*x281 - b853*x288 - b854*x295 - b855*x302 - b856*x309
       - b857*x316 - b858*x323 - b859*x330 - b860*x337 - b861*x344 - b862*x351
       - b863*x358 - b864*x365 - b865*x372 - b866*x379 - b867*x386 - b868*x393
       + x220 - 1.2*b844 =E= 0;

e70.. (-b870*x232) - b871*x239 - b872*x246 - b873*x253 - b874*x260 - b875*x267
       - b876*x274 - b877*x281 - b878*x288 - b879*x295 - b880*x302 - b881*x309
       - b882*x316 - b883*x323 - b884*x330 - b885*x337 - b886*x344 - b887*x351
       - b888*x358 - b889*x365 - b890*x372 - b891*x379 - b892*x386 - b893*x393
       + x221 - 1.2*b869 =E= 0;

e71.. (-b895*x232) - b896*x239 - b897*x246 - b898*x253 - b899*x260 - b900*x267
       - b901*x274 - b902*x281 - b903*x288 - b904*x295 - b905*x302 - b906*x309
       - b907*x316 - b908*x323 - b909*x330 - b910*x337 - b911*x344 - b912*x351
       - b913*x358 - b914*x365 - b915*x372 - b916*x379 - b917*x386 - b918*x393
       + x222 - 1.2*b894 =E= 0;

e72.. (-b920*x232) - b921*x239 - b922*x246 - b923*x253 - b924*x260 - b925*x267
       - b926*x274 - b927*x281 - b928*x288 - b929*x295 - b930*x302 - b931*x309
       - b932*x316 - b933*x323 - b934*x330 - b935*x337 - b936*x344 - b937*x351
       - b938*x358 - b939*x365 - b940*x372 - b941*x379 - b942*x386 - b943*x393
       + x223 - 1.2*b919 =E= 0;

e73.. (-b945*x232) - b946*x239 - b947*x246 - b948*x253 - b949*x260 - b950*x267
       - b951*x274 - b952*x281 - b953*x288 - b954*x295 - b955*x302 - b956*x309
       - b957*x316 - b958*x323 - b959*x330 - b960*x337 - b961*x344 - b962*x351
       - b963*x358 - b964*x365 - b965*x372 - b966*x379 - b967*x386 - b968*x393
       + x224 - 1.2*b944 =E= 0;

e74.. (-b970*x232) - b971*x239 - b972*x246 - b973*x253 - b974*x260 - b975*x267
       - b976*x274 - b977*x281 - b978*x288 - b979*x295 - b980*x302 - b981*x309
       - b982*x316 - b983*x323 - b984*x330 - b985*x337 - b986*x344 - b987*x351
       - b988*x358 - b989*x365 - b990*x372 - b991*x379 - b992*x386 - b993*x393
       + x225 - 1.2*b969 =E= 0;

e75.. 0.1092*x202*x2 - x202 + x226 =E= 0;

e76.. 0.1092*x226*x3 - x226 + x227 =E= 0;

e77.. 0.1092*x227*x4 - x227 + x228 =E= 0;

e78.. 0.1092*x228*x5 - x228 + x229 =E= 0;

e79.. 0.1092*x229*x6 - x229 + x230 =E= 0;

e80.. 0.1092*x230*x7 - x230 + x231 =E= 0;

e81.. 0.1092*x231*x8 - x231 + x232 =E= 0;

e82.. 0.1092*x203*x10 - x203 + x233 =E= 0;

e83.. 0.1092*x233*x11 - x233 + x234 =E= 0;

e84.. 0.1092*x234*x12 - x234 + x235 =E= 0;

e85.. 0.1092*x235*x13 - x235 + x236 =E= 0;

e86.. 0.1092*x236*x14 - x236 + x237 =E= 0;

e87.. 0.1092*x237*x15 - x237 + x238 =E= 0;

e88.. 0.1092*x238*x16 - x238 + x239 =E= 0;

e89.. 0.1092*x204*x18 - x204 + x240 =E= 0;

e90.. 0.1092*x240*x19 - x240 + x241 =E= 0;

e91.. 0.1092*x241*x20 - x241 + x242 =E= 0;

e92.. 0.1092*x242*x21 - x242 + x243 =E= 0;

e93.. 0.1092*x243*x22 - x243 + x244 =E= 0;

e94.. 0.1092*x244*x23 - x244 + x245 =E= 0;

e95.. 0.1092*x245*x24 - x245 + x246 =E= 0;

e96.. 0.1092*x205*x26 - x205 + x247 =E= 0;

e97.. 0.1092*x247*x27 - x247 + x248 =E= 0;

e98.. 0.1092*x248*x28 - x248 + x249 =E= 0;

e99.. 0.1092*x249*x29 - x249 + x250 =E= 0;

e100.. 0.1092*x250*x30 - x250 + x251 =E= 0;

e101.. 0.1092*x251*x31 - x251 + x252 =E= 0;

e102.. 0.1092*x252*x32 - x252 + x253 =E= 0;

e103.. 0.1092*x206*x34 - x206 + x254 =E= 0;

e104.. 0.1092*x254*x35 - x254 + x255 =E= 0;

e105.. 0.1092*x255*x36 - x255 + x256 =E= 0;

e106.. 0.1092*x256*x37 - x256 + x257 =E= 0;

e107.. 0.1092*x257*x38 - x257 + x258 =E= 0;

e108.. 0.1092*x258*x39 - x258 + x259 =E= 0;

e109.. 0.1092*x259*x40 - x259 + x260 =E= 0;

e110.. 0.1092*x207*x42 - x207 + x261 =E= 0;

e111.. 0.1092*x261*x43 - x261 + x262 =E= 0;

e112.. 0.1092*x262*x44 - x262 + x263 =E= 0;

e113.. 0.1092*x263*x45 - x263 + x264 =E= 0;

e114.. 0.1092*x264*x46 - x264 + x265 =E= 0;

e115.. 0.1092*x265*x47 - x265 + x266 =E= 0;

e116.. 0.1092*x266*x48 - x266 + x267 =E= 0;

e117.. 0.1092*x208*x50 - x208 + x268 =E= 0;

e118.. 0.1092*x268*x51 - x268 + x269 =E= 0;

e119.. 0.1092*x269*x52 - x269 + x270 =E= 0;

e120.. 0.1092*x270*x53 - x270 + x271 =E= 0;

e121.. 0.1092*x271*x54 - x271 + x272 =E= 0;

e122.. 0.1092*x272*x55 - x272 + x273 =E= 0;

e123.. 0.1092*x273*x56 - x273 + x274 =E= 0;

e124.. 0.1092*x209*x58 - x209 + x275 =E= 0;

e125.. 0.1092*x275*x59 - x275 + x276 =E= 0;

e126.. 0.1092*x276*x60 - x276 + x277 =E= 0;

e127.. 0.1092*x277*x61 - x277 + x278 =E= 0;

e128.. 0.1092*x278*x62 - x278 + x279 =E= 0;

e129.. 0.1092*x279*x63 - x279 + x280 =E= 0;

e130.. 0.1092*x280*x64 - x280 + x281 =E= 0;

e131.. 0.1092*x210*x66 - x210 + x282 =E= 0;

e132.. 0.1092*x282*x67 - x282 + x283 =E= 0;

e133.. 0.1092*x283*x68 - x283 + x284 =E= 0;

e134.. 0.1092*x284*x69 - x284 + x285 =E= 0;

e135.. 0.1092*x285*x70 - x285 + x286 =E= 0;

e136.. 0.1092*x286*x71 - x286 + x287 =E= 0;

e137.. 0.1092*x287*x72 - x287 + x288 =E= 0;

e138.. 0.1092*x211*x74 - x211 + x289 =E= 0;

e139.. 0.1092*x289*x75 - x289 + x290 =E= 0;

e140.. 0.1092*x290*x76 - x290 + x291 =E= 0;

e141.. 0.1092*x291*x77 - x291 + x292 =E= 0;

e142.. 0.1092*x292*x78 - x292 + x293 =E= 0;

e143.. 0.1092*x293*x79 - x293 + x294 =E= 0;

e144.. 0.1092*x294*x80 - x294 + x295 =E= 0;

e145.. 0.1092*x212*x82 - x212 + x296 =E= 0;

e146.. 0.1092*x296*x83 - x296 + x297 =E= 0;

e147.. 0.1092*x297*x84 - x297 + x298 =E= 0;

e148.. 0.1092*x298*x85 - x298 + x299 =E= 0;

e149.. 0.1092*x299*x86 - x299 + x300 =E= 0;

e150.. 0.1092*x300*x87 - x300 + x301 =E= 0;

e151.. 0.1092*x301*x88 - x301 + x302 =E= 0;

e152.. 0.1092*x213*x90 - x213 + x303 =E= 0;

e153.. 0.1092*x303*x91 - x303 + x304 =E= 0;

e154.. 0.1092*x304*x92 - x304 + x305 =E= 0;

e155.. 0.1092*x305*x93 - x305 + x306 =E= 0;

e156.. 0.1092*x306*x94 - x306 + x307 =E= 0;

e157.. 0.1092*x307*x95 - x307 + x308 =E= 0;

e158.. 0.1092*x308*x96 - x308 + x309 =E= 0;

e159.. 0.1092*x214*x98 - x214 + x310 =E= 0;

e160.. 0.1092*x310*x99 - x310 + x311 =E= 0;

e161.. 0.1092*x311*x100 - x311 + x312 =E= 0;

e162.. 0.1092*x312*x101 - x312 + x313 =E= 0;

e163.. 0.1092*x313*x102 - x313 + x314 =E= 0;

e164.. 0.1092*x314*x103 - x314 + x315 =E= 0;

e165.. 0.1092*x315*x104 - x315 + x316 =E= 0;

e166.. 0.1092*x215*x106 - x215 + x317 =E= 0;

e167.. 0.1092*x317*x107 - x317 + x318 =E= 0;

e168.. 0.1092*x318*x108 - x318 + x319 =E= 0;

e169.. 0.1092*x319*x109 - x319 + x320 =E= 0;

e170.. 0.1092*x320*x110 - x320 + x321 =E= 0;

e171.. 0.1092*x321*x111 - x321 + x322 =E= 0;

e172.. 0.1092*x322*x112 - x322 + x323 =E= 0;

e173.. 0.1092*x216*x114 - x216 + x324 =E= 0;

e174.. 0.1092*x324*x115 - x324 + x325 =E= 0;

e175.. 0.1092*x325*x116 - x325 + x326 =E= 0;

e176.. 0.1092*x326*x117 - x326 + x327 =E= 0;

e177.. 0.1092*x327*x118 - x327 + x328 =E= 0;

e178.. 0.1092*x328*x119 - x328 + x329 =E= 0;

e179.. 0.1092*x329*x120 - x329 + x330 =E= 0;

e180.. 0.1092*x217*x122 - x217 + x331 =E= 0;

e181.. 0.1092*x331*x123 - x331 + x332 =E= 0;

e182.. 0.1092*x332*x124 - x332 + x333 =E= 0;

e183.. 0.1092*x333*x125 - x333 + x334 =E= 0;

e184.. 0.1092*x334*x126 - x334 + x335 =E= 0;

e185.. 0.1092*x335*x127 - x335 + x336 =E= 0;

e186.. 0.1092*x336*x128 - x336 + x337 =E= 0;

e187.. 0.1092*x218*x130 - x218 + x338 =E= 0;

e188.. 0.1092*x338*x131 - x338 + x339 =E= 0;

e189.. 0.1092*x339*x132 - x339 + x340 =E= 0;

e190.. 0.1092*x340*x133 - x340 + x341 =E= 0;

e191.. 0.1092*x341*x134 - x341 + x342 =E= 0;

e192.. 0.1092*x342*x135 - x342 + x343 =E= 0;

e193.. 0.1092*x343*x136 - x343 + x344 =E= 0;

e194.. 0.1092*x219*x138 - x219 + x345 =E= 0;

e195.. 0.1092*x345*x139 - x345 + x346 =E= 0;

e196.. 0.1092*x346*x140 - x346 + x347 =E= 0;

e197.. 0.1092*x347*x141 - x347 + x348 =E= 0;

e198.. 0.1092*x348*x142 - x348 + x349 =E= 0;

e199.. 0.1092*x349*x143 - x349 + x350 =E= 0;

e200.. 0.1092*x350*x144 - x350 + x351 =E= 0;

e201.. 0.1092*x220*x146 - x220 + x352 =E= 0;

e202.. 0.1092*x352*x147 - x352 + x353 =E= 0;

e203.. 0.1092*x353*x148 - x353 + x354 =E= 0;

e204.. 0.1092*x354*x149 - x354 + x355 =E= 0;

e205.. 0.1092*x355*x150 - x355 + x356 =E= 0;

e206.. 0.1092*x356*x151 - x356 + x357 =E= 0;

e207.. 0.1092*x357*x152 - x357 + x358 =E= 0;

e208.. 0.1092*x221*x154 - x221 + x359 =E= 0;

e209.. 0.1092*x359*x155 - x359 + x360 =E= 0;

e210.. 0.1092*x360*x156 - x360 + x361 =E= 0;

e211.. 0.1092*x361*x157 - x361 + x362 =E= 0;

e212.. 0.1092*x362*x158 - x362 + x363 =E= 0;

e213.. 0.1092*x363*x159 - x363 + x364 =E= 0;

e214.. 0.1092*x364*x160 - x364 + x365 =E= 0;

e215.. 0.1092*x222*x162 - x222 + x366 =E= 0;

e216.. 0.1092*x366*x163 - x366 + x367 =E= 0;

e217.. 0.1092*x367*x164 - x367 + x368 =E= 0;

e218.. 0.1092*x368*x165 - x368 + x369 =E= 0;

e219.. 0.1092*x369*x166 - x369 + x370 =E= 0;

e220.. 0.1092*x370*x167 - x370 + x371 =E= 0;

e221.. 0.1092*x371*x168 - x371 + x372 =E= 0;

e222.. 0.1092*x223*x170 - x223 + x373 =E= 0;

e223.. 0.1092*x373*x171 - x373 + x374 =E= 0;

e224.. 0.1092*x374*x172 - x374 + x375 =E= 0;

e225.. 0.1092*x375*x173 - x375 + x376 =E= 0;

e226.. 0.1092*x376*x174 - x376 + x377 =E= 0;

e227.. 0.1092*x377*x175 - x377 + x378 =E= 0;

e228.. 0.1092*x378*x176 - x378 + x379 =E= 0;

e229.. 0.1092*x224*x178 - x224 + x380 =E= 0;

e230.. 0.1092*x380*x179 - x380 + x381 =E= 0;

e231.. 0.1092*x381*x180 - x381 + x382 =E= 0;

e232.. 0.1092*x382*x181 - x382 + x383 =E= 0;

e233.. 0.1092*x383*x182 - x383 + x384 =E= 0;

e234.. 0.1092*x384*x183 - x384 + x385 =E= 0;

e235.. 0.1092*x385*x184 - x385 + x386 =E= 0;

e236.. 0.1092*x225*x186 - x225 + x387 =E= 0;

e237.. 0.1092*x387*x187 - x387 + x388 =E= 0;

e238.. 0.1092*x388*x188 - x388 + x389 =E= 0;

e239.. 0.1092*x389*x189 - x389 + x390 =E= 0;

e240.. 0.1092*x390*x190 - x390 + x391 =E= 0;

e241.. 0.1092*x391*x191 - x391 + x392 =E= 0;

e242.. 0.1092*x392*x192 - x392 + x393 =E= 0;

e243.. x202*x2 + x203*x10 + x204*x18 + x205*x26 + x206*x34 + x207*x42 + x208*
       x50 + x209*x58 + x210*x66 + x211*x74 + x212*x82 + x213*x90 + x214*x98 + 
       x215*x106 + x216*x114 + x217*x122 + x218*x130 + x219*x138 + x220*x146 + 
       x221*x154 + x222*x162 + x223*x170 + x224*x178 + x225*x186 =E= 1;

e244.. x226*x3 + x233*x11 + x240*x19 + x247*x27 + x254*x35 + x261*x43 + x268*
       x51 + x275*x59 + x282*x67 + x289*x75 + x296*x83 + x303*x91 + x310*x99 + 
       x317*x107 + x324*x115 + x331*x123 + x338*x131 + x345*x139 + x352*x147 + 
       x359*x155 + x366*x163 + x373*x171 + x380*x179 + x387*x187 =E= 1;

e245.. x227*x4 + x234*x12 + x241*x20 + x248*x28 + x255*x36 + x262*x44 + x269*
       x52 + x276*x60 + x283*x68 + x290*x76 + x297*x84 + x304*x92 + x311*x100
        + x318*x108 + x325*x116 + x332*x124 + x339*x132 + x346*x140 + x353*x148
        + x360*x156 + x367*x164 + x374*x172 + x381*x180 + x388*x188 =E= 1;

e246.. x228*x5 + x235*x13 + x242*x21 + x249*x29 + x256*x37 + x263*x45 + x270*
       x53 + x277*x61 + x284*x69 + x291*x77 + x298*x85 + x305*x93 + x312*x101
        + x319*x109 + x326*x117 + x333*x125 + x340*x133 + x347*x141 + x354*x149
        + x361*x157 + x368*x165 + x375*x173 + x382*x181 + x389*x189 =E= 1;

e247.. x229*x6 + x236*x14 + x243*x22 + x250*x30 + x257*x38 + x264*x46 + x271*
       x54 + x278*x62 + x285*x70 + x292*x78 + x299*x86 + x306*x94 + x313*x102
        + x320*x110 + x327*x118 + x334*x126 + x341*x134 + x348*x142 + x355*x150
        + x362*x158 + x369*x166 + x376*x174 + x383*x182 + x390*x190 =E= 1;

e248.. x230*x7 + x237*x15 + x244*x23 + x251*x31 + x258*x39 + x265*x47 + x272*
       x55 + x279*x63 + x286*x71 + x293*x79 + x300*x87 + x307*x95 + x314*x103
        + x321*x111 + x328*x119 + x335*x127 + x342*x135 + x349*x143 + x356*x151
        + x363*x159 + x370*x167 + x377*x175 + x384*x183 + x391*x191 =E= 1;

e249.. x231*x8 + x238*x16 + x245*x24 + x252*x32 + x259*x40 + x266*x48 + x273*
       x56 + x280*x64 + x287*x72 + x294*x80 + x301*x88 + x308*x96 + x315*x104
        + x322*x112 + x329*x120 + x336*x128 + x343*x136 + x350*x144 + x357*x152
        + x364*x160 + x371*x168 + x378*x176 + x385*x184 + x392*x192 =E= 1;

e250.. x232*x9 + x239*x17 + x246*x25 + x253*x33 + x260*x41 + x267*x49 + x274*
       x57 + x281*x65 + x288*x73 + x295*x81 + x302*x89 + x309*x97 + x316*x105
        + x323*x113 + x330*x121 + x337*x129 + x344*x137 + x351*x145 + x358*x153
        + x365*x161 + x372*x169 + x379*x177 + x386*x185 + x393*x193 =E= 1;

e251.. x202*x2 =L= 0.08333333333;

e252.. x226*x3 =L= 0.08333333333;

e253.. x227*x4 =L= 0.08333333333;

e254.. x228*x5 =L= 0.08333333333;

e255.. x229*x6 =L= 0.08333333333;

e256.. x230*x7 =L= 0.08333333333;

e257.. x231*x8 =L= 0.08333333333;

e258.. x232*x9 =L= 0.08333333333;

e259.. x203*x10 =L= 0.08333333333;

e260.. x233*x11 =L= 0.08333333333;

e261.. x234*x12 =L= 0.08333333333;

e262.. x235*x13 =L= 0.08333333333;

e263.. x236*x14 =L= 0.08333333333;

e264.. x237*x15 =L= 0.08333333333;

e265.. x238*x16 =L= 0.08333333333;

e266.. x239*x17 =L= 0.08333333333;

e267.. x204*x18 =L= 0.08333333333;

e268.. x240*x19 =L= 0.08333333333;

e269.. x241*x20 =L= 0.08333333333;

e270.. x242*x21 =L= 0.08333333333;

e271.. x243*x22 =L= 0.08333333333;

e272.. x244*x23 =L= 0.08333333333;

e273.. x245*x24 =L= 0.08333333333;

e274.. x246*x25 =L= 0.08333333333;

e275.. x205*x26 =L= 0.08333333333;

e276.. x247*x27 =L= 0.08333333333;

e277.. x248*x28 =L= 0.08333333333;

e278.. x249*x29 =L= 0.08333333333;

e279.. x250*x30 =L= 0.08333333333;

e280.. x251*x31 =L= 0.08333333333;

e281.. x252*x32 =L= 0.08333333333;

e282.. x253*x33 =L= 0.08333333333;

e283.. x206*x34 =L= 0.08333333333;

e284.. x254*x35 =L= 0.08333333333;

e285.. x255*x36 =L= 0.08333333333;

e286.. x256*x37 =L= 0.08333333333;

e287.. x257*x38 =L= 0.08333333333;

e288.. x258*x39 =L= 0.08333333333;

e289.. x259*x40 =L= 0.08333333333;

e290.. x260*x41 =L= 0.08333333333;

e291.. x207*x42 =L= 0.08333333333;

e292.. x261*x43 =L= 0.08333333333;

e293.. x262*x44 =L= 0.08333333333;

e294.. x263*x45 =L= 0.08333333333;

e295.. x264*x46 =L= 0.08333333333;

e296.. x265*x47 =L= 0.08333333333;

e297.. x266*x48 =L= 0.08333333333;

e298.. x267*x49 =L= 0.08333333333;

e299.. x208*x50 =L= 0.08333333333;

e300.. x268*x51 =L= 0.08333333333;

e301.. x269*x52 =L= 0.08333333333;

e302.. x270*x53 =L= 0.08333333333;

e303.. x271*x54 =L= 0.08333333333;

e304.. x272*x55 =L= 0.08333333333;

e305.. x273*x56 =L= 0.08333333333;

e306.. x274*x57 =L= 0.08333333333;

e307.. x209*x58 =L= 0.08333333333;

e308.. x275*x59 =L= 0.08333333333;

e309.. x276*x60 =L= 0.08333333333;

e310.. x277*x61 =L= 0.08333333333;

e311.. x278*x62 =L= 0.08333333333;

e312.. x279*x63 =L= 0.08333333333;

e313.. x280*x64 =L= 0.08333333333;

e314.. x281*x65 =L= 0.08333333333;

e315.. x210*x66 =L= 0.08333333333;

e316.. x282*x67 =L= 0.08333333333;

e317.. x283*x68 =L= 0.08333333333;

e318.. x284*x69 =L= 0.08333333333;

e319.. x285*x70 =L= 0.08333333333;

e320.. x286*x71 =L= 0.08333333333;

e321.. x287*x72 =L= 0.08333333333;

e322.. x288*x73 =L= 0.08333333333;

e323.. x211*x74 =L= 0.08333333333;

e324.. x289*x75 =L= 0.08333333333;

e325.. x290*x76 =L= 0.08333333333;

e326.. x291*x77 =L= 0.08333333333;

e327.. x292*x78 =L= 0.08333333333;

e328.. x293*x79 =L= 0.08333333333;

e329.. x294*x80 =L= 0.08333333333;

e330.. x295*x81 =L= 0.08333333333;

e331.. x212*x82 =L= 0.08333333333;

e332.. x296*x83 =L= 0.08333333333;

e333.. x297*x84 =L= 0.08333333333;

e334.. x298*x85 =L= 0.08333333333;

e335.. x299*x86 =L= 0.08333333333;

e336.. x300*x87 =L= 0.08333333333;

e337.. x301*x88 =L= 0.08333333333;

e338.. x302*x89 =L= 0.08333333333;

e339.. x213*x90 =L= 0.08333333333;

e340.. x303*x91 =L= 0.08333333333;

e341.. x304*x92 =L= 0.08333333333;

e342.. x305*x93 =L= 0.08333333333;

e343.. x306*x94 =L= 0.08333333333;

e344.. x307*x95 =L= 0.08333333333;

e345.. x308*x96 =L= 0.08333333333;

e346.. x309*x97 =L= 0.08333333333;

e347.. x214*x98 =L= 0.08333333333;

e348.. x310*x99 =L= 0.08333333333;

e349.. x311*x100 =L= 0.08333333333;

e350.. x312*x101 =L= 0.08333333333;

e351.. x313*x102 =L= 0.08333333333;

e352.. x314*x103 =L= 0.08333333333;

e353.. x315*x104 =L= 0.08333333333;

e354.. x316*x105 =L= 0.08333333333;

e355.. x215*x106 =L= 0.08333333333;

e356.. x317*x107 =L= 0.08333333333;

e357.. x318*x108 =L= 0.08333333333;

e358.. x319*x109 =L= 0.08333333333;

e359.. x320*x110 =L= 0.08333333333;

e360.. x321*x111 =L= 0.08333333333;

e361.. x322*x112 =L= 0.08333333333;

e362.. x323*x113 =L= 0.08333333333;

e363.. x216*x114 =L= 0.08333333333;

e364.. x324*x115 =L= 0.08333333333;

e365.. x325*x116 =L= 0.08333333333;

e366.. x326*x117 =L= 0.08333333333;

e367.. x327*x118 =L= 0.08333333333;

e368.. x328*x119 =L= 0.08333333333;

e369.. x329*x120 =L= 0.08333333333;

e370.. x330*x121 =L= 0.08333333333;

e371.. x217*x122 =L= 0.08333333333;

e372.. x331*x123 =L= 0.08333333333;

e373.. x332*x124 =L= 0.08333333333;

e374.. x333*x125 =L= 0.08333333333;

e375.. x334*x126 =L= 0.08333333333;

e376.. x335*x127 =L= 0.08333333333;

e377.. x336*x128 =L= 0.08333333333;

e378.. x337*x129 =L= 0.08333333333;

e379.. x218*x130 =L= 0.08333333333;

e380.. x338*x131 =L= 0.08333333333;

e381.. x339*x132 =L= 0.08333333333;

e382.. x340*x133 =L= 0.08333333333;

e383.. x341*x134 =L= 0.08333333333;

e384.. x342*x135 =L= 0.08333333333;

e385.. x343*x136 =L= 0.08333333333;

e386.. x344*x137 =L= 0.08333333333;

e387.. x219*x138 =L= 0.08333333333;

e388.. x345*x139 =L= 0.08333333333;

e389.. x346*x140 =L= 0.08333333333;

e390.. x347*x141 =L= 0.08333333333;

e391.. x348*x142 =L= 0.08333333333;

e392.. x349*x143 =L= 0.08333333333;

e393.. x350*x144 =L= 0.08333333333;

e394.. x351*x145 =L= 0.08333333333;

e395.. x220*x146 =L= 0.08333333333;

e396.. x352*x147 =L= 0.08333333333;

e397.. x353*x148 =L= 0.08333333333;

e398.. x354*x149 =L= 0.08333333333;

e399.. x355*x150 =L= 0.08333333333;

e400.. x356*x151 =L= 0.08333333333;

e401.. x357*x152 =L= 0.08333333333;

e402.. x358*x153 =L= 0.08333333333;

e403.. x221*x154 =L= 0.08333333333;

e404.. x359*x155 =L= 0.08333333333;

e405.. x360*x156 =L= 0.08333333333;

e406.. x361*x157 =L= 0.08333333333;

e407.. x362*x158 =L= 0.08333333333;

e408.. x363*x159 =L= 0.08333333333;

e409.. x364*x160 =L= 0.08333333333;

e410.. x365*x161 =L= 0.08333333333;

e411.. x222*x162 =L= 0.08333333333;

e412.. x366*x163 =L= 0.08333333333;

e413.. x367*x164 =L= 0.08333333333;

e414.. x368*x165 =L= 0.08333333333;

e415.. x369*x166 =L= 0.08333333333;

e416.. x370*x167 =L= 0.08333333333;

e417.. x371*x168 =L= 0.08333333333;

e418.. x372*x169 =L= 0.08333333333;

e419.. x223*x170 =L= 0.08333333333;

e420.. x373*x171 =L= 0.08333333333;

e421.. x374*x172 =L= 0.08333333333;

e422.. x375*x173 =L= 0.08333333333;

e423.. x376*x174 =L= 0.08333333333;

e424.. x377*x175 =L= 0.08333333333;

e425.. x378*x176 =L= 0.08333333333;

e426.. x379*x177 =L= 0.08333333333;

e427.. x224*x178 =L= 0.08333333333;

e428.. x380*x179 =L= 0.08333333333;

e429.. x381*x180 =L= 0.08333333333;

e430.. x382*x181 =L= 0.08333333333;

e431.. x383*x182 =L= 0.08333333333;

e432.. x384*x183 =L= 0.08333333333;

e433.. x385*x184 =L= 0.08333333333;

e434.. x386*x185 =L= 0.08333333333;

e435.. x225*x186 =L= 0.08333333333;

e436.. x387*x187 =L= 0.08333333333;

e437.. x388*x188 =L= 0.08333333333;

e438.. x389*x189 =L= 0.08333333333;

e439.. x390*x190 =L= 0.08333333333;

e440.. x391*x191 =L= 0.08333333333;

e441.. x392*x192 =L= 0.08333333333;

e442.. x393*x193 =L= 0.08333333333;

e443.. 0.805*x202*x2 - x194*x2 + 0.0084*x203*x10 + 0.0948*x208*x50 + 0.0918*
       x209*x58 =E= 0;

e444.. 0.805*x226*x3 - x195*x3 + 0.0084*x233*x11 + 0.0948*x268*x51 + 0.0918*
       x275*x59 =E= 0;

e445.. 0.805*x227*x4 - x196*x4 + 0.0084*x234*x12 + 0.0948*x269*x52 + 0.0918*
       x276*x60 =E= 0;

e446.. 0.805*x228*x5 - x197*x5 + 0.0084*x235*x13 + 0.0948*x270*x53 + 0.0918*
       x277*x61 =E= 0;

e447.. 0.805*x229*x6 - x198*x6 + 0.0084*x236*x14 + 0.0948*x271*x54 + 0.0918*
       x278*x62 =E= 0;

e448.. 0.805*x230*x7 - x199*x7 + 0.0084*x237*x15 + 0.0948*x272*x55 + 0.0918*
       x279*x63 =E= 0;

e449.. 0.805*x231*x8 - x200*x8 + 0.0084*x238*x16 + 0.0948*x273*x56 + 0.0918*
       x280*x64 =E= 0;

e450.. 0.805*x232*x9 - x201*x9 + 0.0084*x239*x17 + 0.0948*x274*x57 + 0.0918*
       x281*x65 =E= 0;

e451.. 0.0603*x202*x2 - x194*x10 + 0.4693*x203*x10 + 0.1616*x204*x18 + 0.095*
       x208*x50 + 0.1356*x209*x58 + 0.0781*x210*x66 =E= 0;

e452.. 0.0603*x226*x3 - x195*x11 + 0.4693*x233*x11 + 0.1616*x240*x19 + 0.095*
       x268*x51 + 0.1356*x275*x59 + 0.0781*x282*x67 =E= 0;

e453.. 0.0603*x227*x4 - x196*x12 + 0.4693*x234*x12 + 0.1616*x241*x20 + 0.095*
       x269*x52 + 0.1356*x276*x60 + 0.0781*x283*x68 =E= 0;

e454.. 0.0603*x228*x5 - x197*x13 + 0.4693*x235*x13 + 0.1616*x242*x21 + 0.095*
       x270*x53 + 0.1356*x277*x61 + 0.0781*x284*x69 =E= 0;

e455.. 0.0603*x229*x6 - x198*x14 + 0.4693*x236*x14 + 0.1616*x243*x22 + 0.095*
       x271*x54 + 0.1356*x278*x62 + 0.0781*x285*x70 =E= 0;

e456.. 0.0603*x230*x7 - x199*x15 + 0.4693*x237*x15 + 0.1616*x244*x23 + 0.095*
       x272*x55 + 0.1356*x279*x63 + 0.0781*x286*x71 =E= 0;

e457.. 0.0603*x231*x8 - x200*x16 + 0.4693*x238*x16 + 0.1616*x245*x24 + 0.095*
       x273*x56 + 0.1356*x280*x64 + 0.0781*x287*x72 =E= 0;

e458.. 0.0603*x232*x9 - x201*x17 + 0.4693*x239*x17 + 0.1616*x246*x25 + 0.095*
       x274*x57 + 0.1356*x281*x65 + 0.0781*x288*x73 =E= 0;

e459.. 0.1779*x203*x10 - x194*x18 + 0.2147*x204*x18 + 0.1649*x205*x26 + 0.087*
       x209*x58 + 0.2556*x210*x66 + 0.1*x211*x74 =E= 0;

e460.. 0.1779*x233*x11 - x195*x19 + 0.2147*x240*x19 + 0.1649*x247*x27 + 0.087*
       x275*x59 + 0.2556*x282*x67 + 0.1*x289*x75 =E= 0;

e461.. 0.1779*x234*x12 - x196*x20 + 0.2147*x241*x20 + 0.1649*x248*x28 + 0.087*
       x276*x60 + 0.2556*x283*x68 + 0.1*x290*x76 =E= 0;

e462.. 0.1779*x235*x13 - x197*x21 + 0.2147*x242*x21 + 0.1649*x249*x29 + 0.087*
       x277*x61 + 0.2556*x284*x69 + 0.1*x291*x77 =E= 0;

e463.. 0.1779*x236*x14 - x198*x22 + 0.2147*x243*x22 + 0.1649*x250*x30 + 0.087*
       x278*x62 + 0.2556*x285*x70 + 0.1*x292*x78 =E= 0;

e464.. 0.1779*x237*x15 - x199*x23 + 0.2147*x244*x23 + 0.1649*x251*x31 + 0.087*
       x279*x63 + 0.2556*x286*x71 + 0.1*x293*x79 =E= 0;

e465.. 0.1779*x238*x16 - x200*x24 + 0.2147*x245*x24 + 0.1649*x252*x32 + 0.087*
       x280*x64 + 0.2556*x287*x72 + 0.1*x294*x80 =E= 0;

e466.. 0.1779*x239*x17 - x201*x25 + 0.2147*x246*x25 + 0.1649*x253*x33 + 0.087*
       x281*x65 + 0.2556*x288*x73 + 0.1*x295*x81 =E= 0;

e467.. 0.2026*x204*x18 - x194*x26 + 0.1786*x205*x26 + 0.1192*x206*x34 + 0.1665*
       x210*x66 + 0.1452*x211*x74 + 0.1879*x212*x82 =E= 0;

e468.. 0.2026*x240*x19 - x195*x27 + 0.1786*x247*x27 + 0.1192*x254*x35 + 0.1665*
       x282*x67 + 0.1452*x289*x75 + 0.1879*x296*x83 =E= 0;

e469.. 0.2026*x241*x20 - x196*x28 + 0.1786*x248*x28 + 0.1192*x255*x36 + 0.1665*
       x283*x68 + 0.1452*x290*x76 + 0.1879*x297*x84 =E= 0;

e470.. 0.2026*x242*x21 - x197*x29 + 0.1786*x249*x29 + 0.1192*x256*x37 + 0.1665*
       x284*x69 + 0.1452*x291*x77 + 0.1879*x298*x85 =E= 0;

e471.. 0.2026*x243*x22 - x198*x30 + 0.1786*x250*x30 + 0.1192*x257*x38 + 0.1665*
       x285*x70 + 0.1452*x292*x78 + 0.1879*x299*x86 =E= 0;

e472.. 0.2026*x244*x23 - x199*x31 + 0.1786*x251*x31 + 0.1192*x258*x39 + 0.1665*
       x286*x71 + 0.1452*x293*x79 + 0.1879*x300*x87 =E= 0;

e473.. 0.2026*x245*x24 - x200*x32 + 0.1786*x252*x32 + 0.1192*x259*x40 + 0.1665*
       x287*x72 + 0.1452*x294*x80 + 0.1879*x301*x88 =E= 0;

e474.. 0.2026*x246*x25 - x201*x33 + 0.1786*x253*x33 + 0.1192*x260*x41 + 0.1665*
       x288*x73 + 0.1452*x295*x81 + 0.1879*x302*x89 =E= 0;

e475.. 0.206*x205*x26 - x194*x34 + 0.2515*x206*x34 + 0.1994*x207*x42 + 0.1675*
       x211*x74 + 0.1756*x212*x82 =E= 0;

e476.. 0.206*x247*x27 - x195*x35 + 0.2515*x254*x35 + 0.1994*x261*x43 + 0.1675*
       x289*x75 + 0.1756*x296*x83 =E= 0;

e477.. 0.206*x248*x28 - x196*x36 + 0.2515*x255*x36 + 0.1994*x262*x44 + 0.1675*
       x290*x76 + 0.1756*x297*x84 =E= 0;

e478.. 0.206*x249*x29 - x197*x37 + 0.2515*x256*x37 + 0.1994*x263*x45 + 0.1675*
       x291*x77 + 0.1756*x298*x85 =E= 0;

e479.. 0.206*x250*x30 - x198*x38 + 0.2515*x257*x38 + 0.1994*x264*x46 + 0.1675*
       x292*x78 + 0.1756*x299*x86 =E= 0;

e480.. 0.206*x251*x31 - x199*x39 + 0.2515*x258*x39 + 0.1994*x265*x47 + 0.1675*
       x293*x79 + 0.1756*x300*x87 =E= 0;

e481.. 0.206*x252*x32 - x200*x40 + 0.2515*x259*x40 + 0.1994*x266*x48 + 0.1675*
       x294*x80 + 0.1756*x301*x88 =E= 0;

e482.. 0.206*x253*x33 - x201*x41 + 0.2515*x260*x41 + 0.1994*x267*x49 + 0.1675*
       x295*x81 + 0.1756*x302*x89 =E= 0;

e483.. 0.1809*x206*x34 - x194*x42 + 0.7953*x207*x42 + 0.0238*x212*x82 =E= 0;

e484.. 0.1809*x254*x35 - x195*x43 + 0.7953*x261*x43 + 0.0238*x296*x83 =E= 0;

e485.. 0.1809*x255*x36 - x196*x44 + 0.7953*x262*x44 + 0.0238*x297*x84 =E= 0;

e486.. 0.1809*x256*x37 - x197*x45 + 0.7953*x263*x45 + 0.0238*x298*x85 =E= 0;

e487.. 0.1809*x257*x38 - x198*x46 + 0.7953*x264*x46 + 0.0238*x299*x86 =E= 0;

e488.. 0.1809*x258*x39 - x199*x47 + 0.7953*x265*x47 + 0.0238*x300*x87 =E= 0;

e489.. 0.1809*x259*x40 - x200*x48 + 0.7953*x266*x48 + 0.0238*x301*x88 =E= 0;

e490.. 0.1809*x260*x41 - x201*x49 + 0.7953*x267*x49 + 0.0238*x302*x89 =E= 0;

e491.. 0.0274*x202*x2 + 0.1159*x203*x10 - x194*x50 + 0.7946*x208*x50 + 0.0088*
       x209*x58 + 0.0132*x213*x90 + 0.0402*x214*x98 =E= 0;

e492.. 0.0274*x226*x3 + 0.1159*x233*x11 - x195*x51 + 0.7946*x268*x51 + 0.0088*
       x275*x59 + 0.0132*x303*x91 + 0.0402*x310*x99 =E= 0;

e493.. 0.0274*x227*x4 + 0.1159*x234*x12 - x196*x52 + 0.7946*x269*x52 + 0.0088*
       x276*x60 + 0.0132*x304*x92 + 0.0402*x311*x100 =E= 0;

e494.. 0.0274*x228*x5 + 0.1159*x235*x13 - x197*x53 + 0.7946*x270*x53 + 0.0088*
       x277*x61 + 0.0132*x305*x93 + 0.0402*x312*x101 =E= 0;

e495.. 0.0274*x229*x6 + 0.1159*x236*x14 - x198*x54 + 0.7946*x271*x54 + 0.0088*
       x278*x62 + 0.0132*x306*x94 + 0.0402*x313*x102 =E= 0;

e496.. 0.0274*x230*x7 + 0.1159*x237*x15 - x199*x55 + 0.7946*x272*x55 + 0.0088*
       x279*x63 + 0.0132*x307*x95 + 0.0402*x314*x103 =E= 0;

e497.. 0.0274*x231*x8 + 0.1159*x238*x16 - x200*x56 + 0.7946*x273*x56 + 0.0088*
       x280*x64 + 0.0132*x308*x96 + 0.0402*x315*x104 =E= 0;

e498.. 0.0274*x232*x9 + 0.1159*x239*x17 - x201*x57 + 0.7946*x274*x57 + 0.0088*
       x281*x65 + 0.0132*x309*x97 + 0.0402*x316*x105 =E= 0;

e499.. 0.041*x202*x2 + 0.0877*x203*x10 + 0.2708*x204*x18 + 0.0883*x208*x50 - 
       x194*x58 + 0.3146*x209*x58 + 0.0457*x210*x66 + 0.0571*x213*x90 + 0.0154*
       x214*x98 + 0.0793*x215*x106 =E= 0;

e500.. 0.041*x226*x3 + 0.0877*x233*x11 + 0.2708*x240*x19 + 0.0883*x268*x51 - 
       x195*x59 + 0.3146*x275*x59 + 0.0457*x282*x67 + 0.0571*x303*x91 + 0.0154*
       x310*x99 + 0.0793*x317*x107 =E= 0;

e501.. 0.041*x227*x4 + 0.0877*x234*x12 + 0.2708*x241*x20 + 0.0883*x269*x52 - 
       x196*x60 + 0.3146*x276*x60 + 0.0457*x283*x68 + 0.0571*x304*x92 + 0.0154*
       x311*x100 + 0.0793*x318*x108 =E= 0;

e502.. 0.041*x228*x5 + 0.0877*x235*x13 + 0.2708*x242*x21 + 0.0883*x270*x53 - 
       x197*x61 + 0.3146*x277*x61 + 0.0457*x284*x69 + 0.0571*x305*x93 + 0.0154*
       x312*x101 + 0.0793*x319*x109 =E= 0;

e503.. 0.041*x229*x6 + 0.0877*x236*x14 + 0.2708*x243*x22 + 0.0883*x271*x54 - 
       x198*x62 + 0.3146*x278*x62 + 0.0457*x285*x70 + 0.0571*x306*x94 + 0.0154*
       x313*x102 + 0.0793*x320*x110 =E= 0;

e504.. 0.041*x230*x7 + 0.0877*x237*x15 + 0.2708*x244*x23 + 0.0883*x272*x55 - 
       x199*x63 + 0.3146*x279*x63 + 0.0457*x286*x71 + 0.0571*x307*x95 + 0.0154*
       x314*x103 + 0.0793*x321*x111 =E= 0;

e505.. 0.041*x231*x8 + 0.0877*x238*x16 + 0.2708*x245*x24 + 0.0883*x273*x56 - 
       x200*x64 + 0.3146*x280*x64 + 0.0457*x287*x72 + 0.0571*x308*x96 + 0.0154*
       x315*x104 + 0.0793*x322*x112 =E= 0;

e506.. 0.041*x232*x9 + 0.0877*x239*x17 + 0.2708*x246*x25 + 0.0883*x274*x57 - 
       x201*x65 + 0.3146*x281*x65 + 0.0457*x288*x73 + 0.0571*x309*x97 + 0.0154*
       x316*x105 + 0.0793*x323*x113 =E= 0;

e507.. 0.1769*x203*x10 + 0.1774*x204*x18 + 0.0096*x205*x26 + 0.0777*x209*x58 - 
       x194*x66 + 0.4427*x210*x66 + 0.0509*x211*x74 + 0.0067*x214*x98 + 0.0308*
       x215*x106 + 0.0273*x216*x114 =E= 0;

e508.. 0.1769*x233*x11 + 0.1774*x240*x19 + 0.0096*x247*x27 + 0.0777*x275*x59 - 
       x195*x67 + 0.4427*x282*x67 + 0.0509*x289*x75 + 0.0067*x310*x99 + 0.0308*
       x317*x107 + 0.0273*x324*x115 =E= 0;

e509.. 0.1769*x234*x12 + 0.1774*x241*x20 + 0.0096*x248*x28 + 0.0777*x276*x60 - 
       x196*x68 + 0.4427*x283*x68 + 0.0509*x290*x76 + 0.0067*x311*x100 + 0.0308
       *x318*x108 + 0.0273*x325*x116 =E= 0;

e510.. 0.1769*x235*x13 + 0.1774*x242*x21 + 0.0096*x249*x29 + 0.0777*x277*x61 - 
       x197*x69 + 0.4427*x284*x69 + 0.0509*x291*x77 + 0.0067*x312*x101 + 0.0308
       *x319*x109 + 0.0273*x326*x117 =E= 0;

e511.. 0.1769*x236*x14 + 0.1774*x243*x22 + 0.0096*x250*x30 + 0.0777*x278*x62 - 
       x198*x70 + 0.4427*x285*x70 + 0.0509*x292*x78 + 0.0067*x313*x102 + 0.0308
       *x320*x110 + 0.0273*x327*x118 =E= 0;

e512.. 0.1769*x237*x15 + 0.1774*x244*x23 + 0.0096*x251*x31 + 0.0777*x279*x63 - 
       x199*x71 + 0.4427*x286*x71 + 0.0509*x293*x79 + 0.0067*x314*x103 + 0.0308
       *x321*x111 + 0.0273*x328*x119 =E= 0;

e513.. 0.1769*x238*x16 + 0.1774*x245*x24 + 0.0096*x252*x32 + 0.0777*x280*x64 - 
       x200*x72 + 0.4427*x287*x72 + 0.0509*x294*x80 + 0.0067*x315*x104 + 0.0308
       *x322*x112 + 0.0273*x329*x120 =E= 0;

e514.. 0.1769*x239*x17 + 0.1774*x246*x25 + 0.0096*x253*x33 + 0.0777*x281*x65 - 
       x201*x73 + 0.4427*x288*x73 + 0.0509*x295*x81 + 0.0067*x316*x105 + 0.0308
       *x323*x113 + 0.0273*x330*x121 =E= 0;

e515.. 0.0495*x204*x18 + 0.2784*x205*x26 + 0.1861*x206*x34 + 0.0328*x210*x66 - 
       x194*x74 + 0.3675*x211*x74 + 0.0057*x212*x82 + 0.0334*x215*x106 + 0.0296
       *x216*x114 + 0.0171*x217*x122 =E= 0;

e516.. 0.0495*x240*x19 + 0.2784*x247*x27 + 0.1861*x254*x35 + 0.0328*x282*x67 - 
       x195*x75 + 0.3675*x289*x75 + 0.0057*x296*x83 + 0.0334*x317*x107 + 0.0296
       *x324*x115 + 0.0171*x331*x123 =E= 0;

e517.. 0.0495*x241*x20 + 0.2784*x248*x28 + 0.1861*x255*x36 + 0.0328*x283*x68 - 
       x196*x76 + 0.3675*x290*x76 + 0.0057*x297*x84 + 0.0334*x318*x108 + 0.0296
       *x325*x116 + 0.0171*x332*x124 =E= 0;

e518.. 0.0495*x242*x21 + 0.2784*x249*x29 + 0.1861*x256*x37 + 0.0328*x284*x69 - 
       x197*x77 + 0.3675*x291*x77 + 0.0057*x298*x85 + 0.0334*x319*x109 + 0.0296
       *x326*x117 + 0.0171*x333*x125 =E= 0;

e519.. 0.0495*x243*x22 + 0.2784*x250*x30 + 0.1861*x257*x38 + 0.0328*x285*x70 - 
       x198*x78 + 0.3675*x292*x78 + 0.0057*x299*x86 + 0.0334*x320*x110 + 0.0296
       *x327*x118 + 0.0171*x334*x126 =E= 0;

e520.. 0.0495*x244*x23 + 0.2784*x251*x31 + 0.1861*x258*x39 + 0.0328*x286*x71 - 
       x199*x79 + 0.3675*x293*x79 + 0.0057*x300*x87 + 0.0334*x321*x111 + 0.0296
       *x328*x119 + 0.0171*x335*x127 =E= 0;

e521.. 0.0495*x245*x24 + 0.2784*x252*x32 + 0.1861*x259*x40 + 0.0328*x287*x72 - 
       x200*x80 + 0.3675*x294*x80 + 0.0057*x301*x88 + 0.0334*x322*x112 + 0.0296
       *x329*x120 + 0.0171*x336*x128 =E= 0;

e522.. 0.0495*x246*x25 + 0.2784*x253*x33 + 0.1861*x260*x41 + 0.0328*x288*x73 - 
       x201*x81 + 0.3675*x295*x81 + 0.0057*x302*x89 + 0.0334*x323*x113 + 0.0296
       *x330*x121 + 0.0171*x337*x129 =E= 0;

e523.. 0.2074*x205*x26 + 0.2112*x206*x34 + 0.076*x207*x42 + 0.0095*x211*x74 - 
       x194*x82 + 0.4159*x212*x82 + 0.0222*x216*x114 + 0.0579*x217*x122 =E= 0;

e524.. 0.2074*x247*x27 + 0.2112*x254*x35 + 0.076*x261*x43 + 0.0095*x289*x75 - 
       x195*x83 + 0.4159*x296*x83 + 0.0222*x324*x115 + 0.0579*x331*x123 =E= 0;

e525.. 0.2074*x248*x28 + 0.2112*x255*x36 + 0.076*x262*x44 + 0.0095*x290*x76 - 
       x196*x84 + 0.4159*x297*x84 + 0.0222*x325*x116 + 0.0579*x332*x124 =E= 0;

e526.. 0.2074*x249*x29 + 0.2112*x256*x37 + 0.076*x263*x45 + 0.0095*x291*x77 - 
       x197*x85 + 0.4159*x298*x85 + 0.0222*x326*x117 + 0.0579*x333*x125 =E= 0;

e527.. 0.2074*x250*x30 + 0.2112*x257*x38 + 0.076*x264*x46 + 0.0095*x292*x78 - 
       x198*x86 + 0.4159*x299*x86 + 0.0222*x327*x118 + 0.0579*x334*x126 =E= 0;

e528.. 0.2074*x251*x31 + 0.2112*x258*x39 + 0.076*x265*x47 + 0.0095*x293*x79 - 
       x199*x87 + 0.4159*x300*x87 + 0.0222*x328*x119 + 0.0579*x335*x127 =E= 0;

e529.. 0.2074*x252*x32 + 0.2112*x259*x40 + 0.076*x266*x48 + 0.0095*x294*x80 - 
       x200*x88 + 0.4159*x301*x88 + 0.0222*x329*x120 + 0.0579*x336*x128 =E= 0;

e530.. 0.2074*x253*x33 + 0.2112*x260*x41 + 0.076*x267*x49 + 0.0095*x295*x81 - 
       x201*x89 + 0.4159*x302*x89 + 0.0222*x330*x121 + 0.0579*x337*x129 =E= 0;

e531.. 0.0606*x208*x50 + 0.0443*x209*x58 - x194*x90 + 0.7699*x213*x90 + 0.009*
       x214*x98 + 0.0396*x218*x130 + 0.0767*x219*x138 =E= 0;

e532.. 0.0606*x268*x51 + 0.0443*x275*x59 - x195*x91 + 0.7699*x303*x91 + 0.009*
       x310*x99 + 0.0396*x338*x131 + 0.0767*x345*x139 =E= 0;

e533.. 0.0606*x269*x52 + 0.0443*x276*x60 - x196*x92 + 0.7699*x304*x92 + 0.009*
       x311*x100 + 0.0396*x339*x132 + 0.0767*x346*x140 =E= 0;

e534.. 0.0606*x270*x53 + 0.0443*x277*x61 - x197*x93 + 0.7699*x305*x93 + 0.009*
       x312*x101 + 0.0396*x340*x133 + 0.0767*x347*x141 =E= 0;

e535.. 0.0606*x271*x54 + 0.0443*x278*x62 - x198*x94 + 0.7699*x306*x94 + 0.009*
       x313*x102 + 0.0396*x341*x134 + 0.0767*x348*x142 =E= 0;

e536.. 0.0606*x272*x55 + 0.0443*x279*x63 - x199*x95 + 0.7699*x307*x95 + 0.009*
       x314*x103 + 0.0396*x342*x135 + 0.0767*x349*x143 =E= 0;

e537.. 0.0606*x273*x56 + 0.0443*x280*x64 - x200*x96 + 0.7699*x308*x96 + 0.009*
       x315*x104 + 0.0396*x343*x136 + 0.0767*x350*x144 =E= 0;

e538.. 0.0606*x274*x57 + 0.0443*x281*x65 - x201*x97 + 0.7699*x309*x97 + 0.009*
       x316*x105 + 0.0396*x344*x137 + 0.0767*x351*x145 =E= 0;

e539.. 0.0259*x208*x50 + 0.0594*x209*x58 + 0.0178*x210*x66 + 0.074*x213*x90 - 
       x194*x98 + 0.5665*x214*x98 + 0.052*x215*x106 + 0.0606*x218*x130 + 0.1055
       *x219*x138 + 0.0383*x220*x146 =E= 0;

e540.. 0.0259*x268*x51 + 0.0594*x275*x59 + 0.0178*x282*x67 + 0.074*x303*x91 - 
       x195*x99 + 0.5665*x310*x99 + 0.052*x317*x107 + 0.0606*x338*x131 + 0.1055
       *x345*x139 + 0.0383*x352*x147 =E= 0;

e541.. 0.0259*x269*x52 + 0.0594*x276*x60 + 0.0178*x283*x68 + 0.074*x304*x92 - 
       x196*x100 + 0.5665*x311*x100 + 0.052*x318*x108 + 0.0606*x339*x132 + 
       0.1055*x346*x140 + 0.0383*x353*x148 =E= 0;

e542.. 0.0259*x270*x53 + 0.0594*x277*x61 + 0.0178*x284*x69 + 0.074*x305*x93 - 
       x197*x101 + 0.5665*x312*x101 + 0.052*x319*x109 + 0.0606*x340*x133 + 
       0.1055*x347*x141 + 0.0383*x354*x149 =E= 0;

e543.. 0.0259*x271*x54 + 0.0594*x278*x62 + 0.0178*x285*x70 + 0.074*x306*x94 - 
       x198*x102 + 0.5665*x313*x102 + 0.052*x320*x110 + 0.0606*x341*x134 + 
       0.1055*x348*x142 + 0.0383*x355*x150 =E= 0;

e544.. 0.0259*x272*x55 + 0.0594*x279*x63 + 0.0178*x286*x71 + 0.074*x307*x95 - 
       x199*x103 + 0.5665*x314*x103 + 0.052*x321*x111 + 0.0606*x342*x135 + 
       0.1055*x349*x143 + 0.0383*x356*x151 =E= 0;

e545.. 0.0259*x273*x56 + 0.0594*x280*x64 + 0.0178*x287*x72 + 0.074*x308*x96 - 
       x200*x104 + 0.5665*x315*x104 + 0.052*x322*x112 + 0.0606*x343*x136 + 
       0.1055*x350*x144 + 0.0383*x357*x152 =E= 0;

e546.. 0.0259*x274*x57 + 0.0594*x281*x65 + 0.0178*x288*x73 + 0.074*x309*x97 - 
       x201*x105 + 0.5665*x316*x105 + 0.052*x323*x113 + 0.0606*x344*x137 + 
       0.1055*x351*x145 + 0.0383*x358*x153 =E= 0;

e547.. 0.0384*x209*x58 + 0.0223*x210*x66 + 0.0158*x211*x74 + 0.032*x214*x98 - 
       x194*x106 + 0.6291*x215*x106 + 0.0803*x216*x114 + 0.1152*x219*x138 + 
       0.0489*x220*x146 + 0.0179*x221*x154 =E= 0;

e548.. 0.0384*x275*x59 + 0.0223*x282*x67 + 0.0158*x289*x75 + 0.032*x310*x99 - 
       x195*x107 + 0.6291*x317*x107 + 0.0803*x324*x115 + 0.1152*x345*x139 + 
       0.0489*x352*x147 + 0.0179*x359*x155 =E= 0;

e549.. 0.0384*x276*x60 + 0.0223*x283*x68 + 0.0158*x290*x76 + 0.032*x311*x100 - 
       x196*x108 + 0.6291*x318*x108 + 0.0803*x325*x116 + 0.1152*x346*x140 + 
       0.0489*x353*x148 + 0.0179*x360*x156 =E= 0;

e550.. 0.0384*x277*x61 + 0.0223*x284*x69 + 0.0158*x291*x77 + 0.032*x312*x101 - 
       x197*x109 + 0.6291*x319*x109 + 0.0803*x326*x117 + 0.1152*x347*x141 + 
       0.0489*x354*x149 + 0.0179*x361*x157 =E= 0;

e551.. 0.0384*x278*x62 + 0.0223*x285*x70 + 0.0158*x292*x78 + 0.032*x313*x102 - 
       x198*x110 + 0.6291*x320*x110 + 0.0803*x327*x118 + 0.1152*x348*x142 + 
       0.0489*x355*x150 + 0.0179*x362*x158 =E= 0;

e552.. 0.0384*x279*x63 + 0.0223*x286*x71 + 0.0158*x293*x79 + 0.032*x314*x103 - 
       x199*x111 + 0.6291*x321*x111 + 0.0803*x328*x119 + 0.1152*x349*x143 + 
       0.0489*x356*x151 + 0.0179*x363*x159 =E= 0;

e553.. 0.0384*x280*x64 + 0.0223*x287*x72 + 0.0158*x294*x80 + 0.032*x315*x104 - 
       x200*x112 + 0.6291*x322*x112 + 0.0803*x329*x120 + 0.1152*x350*x144 + 
       0.0489*x357*x152 + 0.0179*x364*x160 =E= 0;

e554.. 0.0384*x281*x65 + 0.0223*x288*x73 + 0.0158*x295*x81 + 0.032*x316*x105 - 
       x201*x113 + 0.6291*x323*x113 + 0.0803*x330*x121 + 0.1152*x351*x145 + 
       0.0489*x358*x153 + 0.0179*x365*x161 =E= 0;

e555.. 0.0322*x210*x66 + 0.0179*x211*x74 + 0.0017*x212*x82 + 0.106*x215*x106 - 
       x194*x114 + 0.718*x216*x114 + 0.0279*x217*x122 + 0.026*x220*x146 + 
       0.0703*x221*x154 =E= 0;

e556.. 0.0322*x282*x67 + 0.0179*x289*x75 + 0.0017*x296*x83 + 0.106*x317*x107 - 
       x195*x115 + 0.718*x324*x115 + 0.0279*x331*x123 + 0.026*x352*x147 + 
       0.0703*x359*x155 =E= 0;

e557.. 0.0322*x283*x68 + 0.0179*x290*x76 + 0.0017*x297*x84 + 0.106*x318*x108 - 
       x196*x116 + 0.718*x325*x116 + 0.0279*x332*x124 + 0.026*x353*x148 + 
       0.0703*x360*x156 =E= 0;

e558.. 0.0322*x284*x69 + 0.0179*x291*x77 + 0.0017*x298*x85 + 0.106*x319*x109 - 
       x197*x117 + 0.718*x326*x117 + 0.0279*x333*x125 + 0.026*x354*x149 + 
       0.0703*x361*x157 =E= 0;

e559.. 0.0322*x285*x70 + 0.0179*x292*x78 + 0.0017*x299*x86 + 0.106*x320*x110 - 
       x198*x118 + 0.718*x327*x118 + 0.0279*x334*x126 + 0.026*x355*x150 + 
       0.0703*x362*x158 =E= 0;

e560.. 0.0322*x286*x71 + 0.0179*x293*x79 + 0.0017*x300*x87 + 0.106*x321*x111 - 
       x199*x119 + 0.718*x328*x119 + 0.0279*x335*x127 + 0.026*x356*x151 + 
       0.0703*x363*x159 =E= 0;

e561.. 0.0322*x287*x72 + 0.0179*x294*x80 + 0.0017*x301*x88 + 0.106*x322*x112 - 
       x200*x120 + 0.718*x329*x120 + 0.0279*x336*x128 + 0.026*x357*x152 + 
       0.0703*x364*x160 =E= 0;

e562.. 0.0322*x288*x73 + 0.0179*x295*x81 + 0.0017*x302*x89 + 0.106*x323*x113 - 
       x201*x121 + 0.718*x330*x121 + 0.0279*x337*x129 + 0.026*x358*x153 + 
       0.0703*x365*x161 =E= 0;

e563.. 0.0301*x211*x74 + 0.1163*x212*x82 + 0.0469*x216*x114 - x194*x122 + 
       0.7683*x217*x122 + 0.0384*x221*x154 =E= 0;

e564.. 0.0301*x289*x75 + 0.1163*x296*x83 + 0.0469*x324*x115 - x195*x123 + 
       0.7683*x331*x123 + 0.0384*x359*x155 =E= 0;

e565.. 0.0301*x290*x76 + 0.1163*x297*x84 + 0.0469*x325*x116 - x196*x124 + 
       0.7683*x332*x124 + 0.0384*x360*x156 =E= 0;

e566.. 0.0301*x291*x77 + 0.1163*x298*x85 + 0.0469*x326*x117 - x197*x125 + 
       0.7683*x333*x125 + 0.0384*x361*x157 =E= 0;

e567.. 0.0301*x292*x78 + 0.1163*x299*x86 + 0.0469*x327*x118 - x198*x126 + 
       0.7683*x334*x126 + 0.0384*x362*x158 =E= 0;

e568.. 0.0301*x293*x79 + 0.1163*x300*x87 + 0.0469*x328*x119 - x199*x127 + 
       0.7683*x335*x127 + 0.0384*x363*x159 =E= 0;

e569.. 0.0301*x294*x80 + 0.1163*x301*x88 + 0.0469*x329*x120 - x200*x128 + 
       0.7683*x336*x128 + 0.0384*x364*x160 =E= 0;

e570.. 0.0301*x295*x81 + 0.1163*x302*x89 + 0.0469*x330*x121 - x201*x129 + 
       0.7683*x337*x129 + 0.0384*x365*x161 =E= 0;

e571.. 0.1014*x213*x90 + 0.0928*x214*x98 - x194*x130 + 0.4066*x218*x130 + 
       0.0963*x219*x138 + 0.1273*x222*x162 + 0.1756*x223*x170 =E= 0;

e572.. 0.1014*x303*x91 + 0.0928*x310*x99 - x195*x131 + 0.4066*x338*x131 + 
       0.0963*x345*x139 + 0.1273*x366*x163 + 0.1756*x373*x171 =E= 0;

e573.. 0.1014*x304*x92 + 0.0928*x311*x100 - x196*x132 + 0.4066*x339*x132 + 
       0.0963*x346*x140 + 0.1273*x367*x164 + 0.1756*x374*x172 =E= 0;

e574.. 0.1014*x305*x93 + 0.0928*x312*x101 - x197*x133 + 0.4066*x340*x133 + 
       0.0963*x347*x141 + 0.1273*x368*x165 + 0.1756*x375*x173 =E= 0;

e575.. 0.1014*x306*x94 + 0.0928*x313*x102 - x198*x134 + 0.4066*x341*x134 + 
       0.0963*x348*x142 + 0.1273*x369*x166 + 0.1756*x376*x174 =E= 0;

e576.. 0.1014*x307*x95 + 0.0928*x314*x103 - x199*x135 + 0.4066*x342*x135 + 
       0.0963*x349*x143 + 0.1273*x370*x167 + 0.1756*x377*x175 =E= 0;

e577.. 0.1014*x308*x96 + 0.0928*x315*x104 - x200*x136 + 0.4066*x343*x136 + 
       0.0963*x350*x144 + 0.1273*x371*x168 + 0.1756*x378*x176 =E= 0;

e578.. 0.1014*x309*x97 + 0.0928*x316*x105 - x201*x137 + 0.4066*x344*x137 + 
       0.0963*x351*x145 + 0.1273*x372*x169 + 0.1756*x379*x177 =E= 0;

e579.. 0.0717*x213*x90 + 0.0516*x214*x98 + 0.0711*x215*x106 + 0.0215*x218*x130
        - x194*x138 + 0.5179*x219*x138 + 0.0428*x220*x146 + 0.0353*x222*x162 + 
       0.0995*x223*x170 + 0.0887*x224*x178 =E= 0;

e580.. 0.0717*x303*x91 + 0.0516*x310*x99 + 0.0711*x317*x107 + 0.0215*x338*x131
        - x195*x139 + 0.5179*x345*x139 + 0.0428*x352*x147 + 0.0353*x366*x163 + 
       0.0995*x373*x171 + 0.0887*x380*x179 =E= 0;

e581.. 0.0717*x304*x92 + 0.0516*x311*x100 + 0.0711*x318*x108 + 0.0215*x339*x132
        - x196*x140 + 0.5179*x346*x140 + 0.0428*x353*x148 + 0.0353*x367*x164 + 
       0.0995*x374*x172 + 0.0887*x381*x180 =E= 0;

e582.. 0.0717*x305*x93 + 0.0516*x312*x101 + 0.0711*x319*x109 + 0.0215*x340*x133
        - x197*x141 + 0.5179*x347*x141 + 0.0428*x354*x149 + 0.0353*x368*x165 + 
       0.0995*x375*x173 + 0.0887*x382*x181 =E= 0;

e583.. 0.0717*x306*x94 + 0.0516*x313*x102 + 0.0711*x320*x110 + 0.0215*x341*x134
        - x198*x142 + 0.5179*x348*x142 + 0.0428*x355*x150 + 0.0353*x369*x166 + 
       0.0995*x376*x174 + 0.0887*x383*x182 =E= 0;

e584.. 0.0717*x307*x95 + 0.0516*x314*x103 + 0.0711*x321*x111 + 0.0215*x342*x135
        - x199*x143 + 0.5179*x349*x143 + 0.0428*x356*x151 + 0.0353*x370*x167 + 
       0.0995*x377*x175 + 0.0887*x384*x183 =E= 0;

e585.. 0.0717*x308*x96 + 0.0516*x315*x104 + 0.0711*x322*x112 + 0.0215*x343*x136
        - x200*x144 + 0.5179*x350*x144 + 0.0428*x357*x152 + 0.0353*x371*x168 + 
       0.0995*x378*x176 + 0.0887*x385*x184 =E= 0;

e586.. 0.0717*x309*x97 + 0.0516*x316*x105 + 0.0711*x323*x113 + 0.0215*x344*x137
        - x201*x145 + 0.5179*x351*x145 + 0.0428*x358*x153 + 0.0353*x372*x169 + 
       0.0995*x379*x177 + 0.0887*x386*x185 =E= 0;

e587.. 0.1063*x214*x98 + 0.0891*x215*x106 + 0.0014*x216*x114 + 0.0696*x219*x138
        - x194*x146 + 0.5949*x220*x146 + 0.0712*x221*x154 + 0.0162*x223*x170 + 
       0.0513*x224*x178 =E= 0;

e588.. 0.1063*x310*x99 + 0.0891*x317*x107 + 0.0014*x324*x115 + 0.0696*x345*x139
        - x195*x147 + 0.5949*x352*x147 + 0.0712*x359*x155 + 0.0162*x373*x171 + 
       0.0513*x380*x179 =E= 0;

e589.. 0.1063*x311*x100 + 0.0891*x318*x108 + 0.0014*x325*x116 + 0.0696*x346*
       x140 - x196*x148 + 0.5949*x353*x148 + 0.0712*x360*x156 + 0.0162*x374*
       x172 + 0.0513*x381*x180 =E= 0;

e590.. 0.1063*x312*x101 + 0.0891*x319*x109 + 0.0014*x326*x117 + 0.0696*x347*
       x141 - x197*x149 + 0.5949*x354*x149 + 0.0712*x361*x157 + 0.0162*x375*
       x173 + 0.0513*x382*x181 =E= 0;

e591.. 0.1063*x313*x102 + 0.0891*x320*x110 + 0.0014*x327*x118 + 0.0696*x348*
       x142 - x198*x150 + 0.5949*x355*x150 + 0.0712*x362*x158 + 0.0162*x376*
       x174 + 0.0513*x383*x182 =E= 0;

e592.. 0.1063*x314*x103 + 0.0891*x321*x111 + 0.0014*x328*x119 + 0.0696*x349*
       x143 - x199*x151 + 0.5949*x356*x151 + 0.0712*x363*x159 + 0.0162*x377*
       x175 + 0.0513*x384*x183 =E= 0;

e593.. 0.1063*x315*x104 + 0.0891*x322*x112 + 0.0014*x329*x120 + 0.0696*x350*
       x144 - x200*x152 + 0.5949*x357*x152 + 0.0712*x364*x160 + 0.0162*x378*
       x176 + 0.0513*x385*x184 =E= 0;

e594.. 0.1063*x316*x105 + 0.0891*x323*x113 + 0.0014*x330*x121 + 0.0696*x351*
       x145 - x201*x153 + 0.5949*x358*x153 + 0.0712*x365*x161 + 0.0162*x379*
       x177 + 0.0513*x386*x185 =E= 0;

e595.. 0.0833*x215*x106 + 0.0925*x216*x114 + 0.0607*x217*x122 + 0.0166*x220*
       x146 - x194*x154 + 0.7193*x221*x154 + 0.0275*x224*x178 =E= 0;

e596.. 0.0833*x317*x107 + 0.0925*x324*x115 + 0.0607*x331*x123 + 0.0166*x352*
       x147 - x195*x155 + 0.7193*x359*x155 + 0.0275*x380*x179 =E= 0;

e597.. 0.0833*x318*x108 + 0.0925*x325*x116 + 0.0607*x332*x124 + 0.0166*x353*
       x148 - x196*x156 + 0.7193*x360*x156 + 0.0275*x381*x180 =E= 0;

e598.. 0.0833*x319*x109 + 0.0925*x326*x117 + 0.0607*x333*x125 + 0.0166*x354*
       x149 - x197*x157 + 0.7193*x361*x157 + 0.0275*x382*x181 =E= 0;

e599.. 0.0833*x320*x110 + 0.0925*x327*x118 + 0.0607*x334*x126 + 0.0166*x355*
       x150 - x198*x158 + 0.7193*x362*x158 + 0.0275*x383*x182 =E= 0;

e600.. 0.0833*x321*x111 + 0.0925*x328*x119 + 0.0607*x335*x127 + 0.0166*x356*
       x151 - x199*x159 + 0.7193*x363*x159 + 0.0275*x384*x183 =E= 0;

e601.. 0.0833*x322*x112 + 0.0925*x329*x120 + 0.0607*x336*x128 + 0.0166*x357*
       x152 - x200*x160 + 0.7193*x364*x160 + 0.0275*x385*x184 =E= 0;

e602.. 0.0833*x323*x113 + 0.0925*x330*x121 + 0.0607*x337*x129 + 0.0166*x358*
       x153 - x201*x161 + 0.7193*x365*x161 + 0.0275*x386*x185 =E= 0;

e603.. 0.2369*x218*x130 + 0.0415*x219*x138 - x194*x162 + 0.1653*x222*x162 + 
       0.2546*x223*x170 + 0.3016*x225*x186 =E= 0;

e604.. 0.2369*x338*x131 + 0.0415*x345*x139 - x195*x163 + 0.1653*x366*x163 + 
       0.2546*x373*x171 + 0.3016*x387*x187 =E= 0;

e605.. 0.2369*x339*x132 + 0.0415*x346*x140 - x196*x164 + 0.1653*x367*x164 + 
       0.2546*x374*x172 + 0.3016*x388*x188 =E= 0;

e606.. 0.2369*x340*x133 + 0.0415*x347*x141 - x197*x165 + 0.1653*x368*x165 + 
       0.2546*x375*x173 + 0.3016*x389*x189 =E= 0;

e607.. 0.2369*x341*x134 + 0.0415*x348*x142 - x198*x166 + 0.1653*x369*x166 + 
       0.2546*x376*x174 + 0.3016*x390*x190 =E= 0;

e608.. 0.2369*x342*x135 + 0.0415*x349*x143 - x199*x167 + 0.1653*x370*x167 + 
       0.2546*x377*x175 + 0.3016*x391*x191 =E= 0;

e609.. 0.2369*x343*x136 + 0.0415*x350*x144 - x200*x168 + 0.1653*x371*x168 + 
       0.2546*x378*x176 + 0.3016*x392*x192 =E= 0;

e610.. 0.2369*x344*x137 + 0.0415*x351*x145 - x201*x169 + 0.1653*x372*x169 + 
       0.2546*x379*x177 + 0.3016*x393*x193 =E= 0;

e611.. 0.07*x218*x130 + 0.0293*x219*x138 + 0.068*x220*x146 + 0.0442*x222*x162
        - x194*x170 + 0.677*x223*x170 + 0.0505*x224*x178 + 0.061*x225*x186
        =E= 0;

e612.. 0.07*x338*x131 + 0.0293*x345*x139 + 0.068*x352*x147 + 0.0442*x366*x163
        - x195*x171 + 0.677*x373*x171 + 0.0505*x380*x179 + 0.061*x387*x187
        =E= 0;

e613.. 0.07*x339*x132 + 0.0293*x346*x140 + 0.068*x353*x148 + 0.0442*x367*x164
        - x196*x172 + 0.677*x374*x172 + 0.0505*x381*x180 + 0.061*x388*x188
        =E= 0;

e614.. 0.07*x340*x133 + 0.0293*x347*x141 + 0.068*x354*x149 + 0.0442*x368*x165
        - x197*x173 + 0.677*x375*x173 + 0.0505*x382*x181 + 0.061*x389*x189
        =E= 0;

e615.. 0.07*x341*x134 + 0.0293*x348*x142 + 0.068*x355*x150 + 0.0442*x369*x166
        - x198*x174 + 0.677*x376*x174 + 0.0505*x383*x182 + 0.061*x390*x190
        =E= 0;

e616.. 0.07*x342*x135 + 0.0293*x349*x143 + 0.068*x356*x151 + 0.0442*x370*x167
        - x199*x175 + 0.677*x377*x175 + 0.0505*x384*x183 + 0.061*x391*x191
        =E= 0;

e617.. 0.07*x343*x136 + 0.0293*x350*x144 + 0.068*x357*x152 + 0.0442*x371*x168
        - x200*x176 + 0.677*x378*x176 + 0.0505*x385*x184 + 0.061*x392*x192
        =E= 0;

e618.. 0.07*x344*x137 + 0.0293*x351*x145 + 0.068*x358*x153 + 0.0442*x372*x169
        - x201*x177 + 0.677*x379*x177 + 0.0505*x386*x185 + 0.061*x393*x193
        =E= 0;

e619.. 0.0244*x219*x138 + 0.0332*x220*x146 + 0.013*x221*x154 + 0.0612*x223*x170
        - x194*x178 + 0.8682*x224*x178 =E= 0;

e620.. 0.0244*x345*x139 + 0.0332*x352*x147 + 0.013*x359*x155 + 0.0612*x373*x171
        - x195*x179 + 0.8682*x380*x179 =E= 0;

e621.. 0.0244*x346*x140 + 0.0332*x353*x148 + 0.013*x360*x156 + 0.0612*x374*x172
        - x196*x180 + 0.8682*x381*x180 =E= 0;

e622.. 0.0244*x347*x141 + 0.0332*x354*x149 + 0.013*x361*x157 + 0.0612*x375*x173
        - x197*x181 + 0.8682*x382*x181 =E= 0;

e623.. 0.0244*x348*x142 + 0.0332*x355*x150 + 0.013*x362*x158 + 0.0612*x376*x174
        - x198*x182 + 0.8682*x383*x182 =E= 0;

e624.. 0.0244*x349*x143 + 0.0332*x356*x151 + 0.013*x363*x159 + 0.0612*x377*x175
        - x199*x183 + 0.8682*x384*x183 =E= 0;

e625.. 0.0244*x350*x144 + 0.0332*x357*x152 + 0.013*x364*x160 + 0.0612*x378*x176
        - x200*x184 + 0.8682*x385*x184 =E= 0;

e626.. 0.0244*x351*x145 + 0.0332*x358*x153 + 0.013*x365*x161 + 0.0612*x379*x177
        - x201*x185 + 0.8682*x386*x185 =E= 0;

e627.. 0.1076*x222*x162 + 0.027*x223*x170 - x194*x186 + 0.8654*x225*x186 =E= 0;

e628.. 0.1076*x366*x163 + 0.027*x373*x171 - x195*x187 + 0.8654*x387*x187 =E= 0;

e629.. 0.1076*x367*x164 + 0.027*x374*x172 - x196*x188 + 0.8654*x388*x188 =E= 0;

e630.. 0.1076*x368*x165 + 0.027*x375*x173 - x197*x189 + 0.8654*x389*x189 =E= 0;

e631.. 0.1076*x369*x166 + 0.027*x376*x174 - x198*x190 + 0.8654*x390*x190 =E= 0;

e632.. 0.1076*x370*x167 + 0.027*x377*x175 - x199*x191 + 0.8654*x391*x191 =E= 0;

e633.. 0.1076*x371*x168 + 0.027*x378*x176 - x200*x192 + 0.8654*x392*x192 =E= 0;

e634.. 0.1076*x372*x169 + 0.027*x379*x177 - x201*x193 + 0.8654*x393*x193 =E= 0;

* set non-default bounds
x2.lo = 0.003472222222;
x3.lo = 0.003472222222;
x4.lo = 0.003472222222;
x5.lo = 0.003472222222;
x6.lo = 0.003472222222;
x7.lo = 0.003472222222;
x8.lo = 0.003472222222;
x9.lo = 0.003472222222;
x10.lo = 0.003472222222;
x11.lo = 0.003472222222;
x12.lo = 0.003472222222;
x13.lo = 0.003472222222;
x14.lo = 0.003472222222;
x15.lo = 0.003472222222;
x16.lo = 0.003472222222;
x17.lo = 0.003472222222;
x18.lo = 0.003472222222;
x19.lo = 0.003472222222;
x20.lo = 0.003472222222;
x21.lo = 0.003472222222;
x22.lo = 0.003472222222;
x23.lo = 0.003472222222;
x24.lo = 0.003472222222;
x25.lo = 0.003472222222;
x26.lo = 0.003472222222;
x27.lo = 0.003472222222;
x28.lo = 0.003472222222;
x29.lo = 0.003472222222;
x30.lo = 0.003472222222;
x31.lo = 0.003472222222;
x32.lo = 0.003472222222;
x33.lo = 0.003472222222;
x34.lo = 0.003472222222;
x35.lo = 0.003472222222;
x36.lo = 0.003472222222;
x37.lo = 0.003472222222;
x38.lo = 0.003472222222;
x39.lo = 0.003472222222;
x40.lo = 0.003472222222;
x41.lo = 0.003472222222;
x42.lo = 0.003472222222;
x43.lo = 0.003472222222;
x44.lo = 0.003472222222;
x45.lo = 0.003472222222;
x46.lo = 0.003472222222;
x47.lo = 0.003472222222;
x48.lo = 0.003472222222;
x49.lo = 0.003472222222;
x50.lo = 0.003472222222;
x51.lo = 0.003472222222;
x52.lo = 0.003472222222;
x53.lo = 0.003472222222;
x54.lo = 0.003472222222;
x55.lo = 0.003472222222;
x56.lo = 0.003472222222;
x57.lo = 0.003472222222;
x58.lo = 0.003472222222;
x59.lo = 0.003472222222;
x60.lo = 0.003472222222;
x61.lo = 0.003472222222;
x62.lo = 0.003472222222;
x63.lo = 0.003472222222;
x64.lo = 0.003472222222;
x65.lo = 0.003472222222;
x66.lo = 0.003472222222;
x67.lo = 0.003472222222;
x68.lo = 0.003472222222;
x69.lo = 0.003472222222;
x70.lo = 0.003472222222;
x71.lo = 0.003472222222;
x72.lo = 0.003472222222;
x73.lo = 0.003472222222;
x74.lo = 0.003472222222;
x75.lo = 0.003472222222;
x76.lo = 0.003472222222;
x77.lo = 0.003472222222;
x78.lo = 0.003472222222;
x79.lo = 0.003472222222;
x80.lo = 0.003472222222;
x81.lo = 0.003472222222;
x82.lo = 0.003472222222;
x83.lo = 0.003472222222;
x84.lo = 0.003472222222;
x85.lo = 0.003472222222;
x86.lo = 0.003472222222;
x87.lo = 0.003472222222;
x88.lo = 0.003472222222;
x89.lo = 0.003472222222;
x90.lo = 0.003472222222;
x91.lo = 0.003472222222;
x92.lo = 0.003472222222;
x93.lo = 0.003472222222;
x94.lo = 0.003472222222;
x95.lo = 0.003472222222;
x96.lo = 0.003472222222;
x97.lo = 0.003472222222;
x98.lo = 0.003472222222;
x99.lo = 0.003472222222;
x100.lo = 0.003472222222;
x101.lo = 0.003472222222;
x102.lo = 0.003472222222;
x103.lo = 0.003472222222;
x104.lo = 0.003472222222;
x105.lo = 0.003472222222;
x106.lo = 0.003472222222;
x107.lo = 0.003472222222;
x108.lo = 0.003472222222;
x109.lo = 0.003472222222;
x110.lo = 0.003472222222;
x111.lo = 0.003472222222;
x112.lo = 0.003472222222;
x113.lo = 0.003472222222;
x114.lo = 0.003472222222;
x115.lo = 0.003472222222;
x116.lo = 0.003472222222;
x117.lo = 0.003472222222;
x118.lo = 0.003472222222;
x119.lo = 0.003472222222;
x120.lo = 0.003472222222;
x121.lo = 0.003472222222;
x122.lo = 0.003472222222;
x123.lo = 0.003472222222;
x124.lo = 0.003472222222;
x125.lo = 0.003472222222;
x126.lo = 0.003472222222;
x127.lo = 0.003472222222;
x128.lo = 0.003472222222;
x129.lo = 0.003472222222;
x130.lo = 0.003472222222;
x131.lo = 0.003472222222;
x132.lo = 0.003472222222;
x133.lo = 0.003472222222;
x134.lo = 0.003472222222;
x135.lo = 0.003472222222;
x136.lo = 0.003472222222;
x137.lo = 0.003472222222;
x138.lo = 0.003472222222;
x139.lo = 0.003472222222;
x140.lo = 0.003472222222;
x141.lo = 0.003472222222;
x142.lo = 0.003472222222;
x143.lo = 0.003472222222;
x144.lo = 0.003472222222;
x145.lo = 0.003472222222;
x146.lo = 0.003472222222;
x147.lo = 0.003472222222;
x148.lo = 0.003472222222;
x149.lo = 0.003472222222;
x150.lo = 0.003472222222;
x151.lo = 0.003472222222;
x152.lo = 0.003472222222;
x153.lo = 0.003472222222;
x154.lo = 0.003472222222;
x155.lo = 0.003472222222;
x156.lo = 0.003472222222;
x157.lo = 0.003472222222;
x158.lo = 0.003472222222;
x159.lo = 0.003472222222;
x160.lo = 0.003472222222;
x161.lo = 0.003472222222;
x162.lo = 0.003472222222;
x163.lo = 0.003472222222;
x164.lo = 0.003472222222;
x165.lo = 0.003472222222;
x166.lo = 0.003472222222;
x167.lo = 0.003472222222;
x168.lo = 0.003472222222;
x169.lo = 0.003472222222;
x170.lo = 0.003472222222;
x171.lo = 0.003472222222;
x172.lo = 0.003472222222;
x173.lo = 0.003472222222;
x174.lo = 0.003472222222;
x175.lo = 0.003472222222;
x176.lo = 0.003472222222;
x177.lo = 0.003472222222;
x178.lo = 0.003472222222;
x179.lo = 0.003472222222;
x180.lo = 0.003472222222;
x181.lo = 0.003472222222;
x182.lo = 0.003472222222;
x183.lo = 0.003472222222;
x184.lo = 0.003472222222;
x185.lo = 0.003472222222;
x186.lo = 0.003472222222;
x187.lo = 0.003472222222;
x188.lo = 0.003472222222;
x189.lo = 0.003472222222;
x190.lo = 0.003472222222;
x191.lo = 0.003472222222;
x192.lo = 0.003472222222;
x193.lo = 0.003472222222;
x202.lo = 0.12;
x203.lo = 0.12;
x204.lo = 0.12;
x205.lo = 0.12;
x206.lo = 0.12;
x207.lo = 0.12;
x208.lo = 0.12;
x209.lo = 0.12;
x210.lo = 0.12;
x211.lo = 0.12;
x212.lo = 0.12;
x213.lo = 0.12;
x214.lo = 0.12;
x215.lo = 0.12;
x216.lo = 0.12;
x217.lo = 0.12;
x218.lo = 0.12;
x219.lo = 0.12;
x220.lo = 0.12;
x221.lo = 0.12;
x222.lo = 0.12;
x223.lo = 0.12;
x224.lo = 0.12;
x225.lo = 0.12;
x226.lo = 0.12;
x227.lo = 0.12;
x228.lo = 0.12;
x229.lo = 0.12;
x230.lo = 0.12;
x231.lo = 0.12;
x232.lo = 0.12;
x233.lo = 0.12;
x234.lo = 0.12;
x235.lo = 0.12;
x236.lo = 0.12;
x237.lo = 0.12;
x238.lo = 0.12;
x239.lo = 0.12;
x240.lo = 0.12;
x241.lo = 0.12;
x242.lo = 0.12;
x243.lo = 0.12;
x244.lo = 0.12;
x245.lo = 0.12;
x246.lo = 0.12;
x247.lo = 0.12;
x248.lo = 0.12;
x249.lo = 0.12;
x250.lo = 0.12;
x251.lo = 0.12;
x252.lo = 0.12;
x253.lo = 0.12;
x254.lo = 0.12;
x255.lo = 0.12;
x256.lo = 0.12;
x257.lo = 0.12;
x258.lo = 0.12;
x259.lo = 0.12;
x260.lo = 0.12;
x261.lo = 0.12;
x262.lo = 0.12;
x263.lo = 0.12;
x264.lo = 0.12;
x265.lo = 0.12;
x266.lo = 0.12;
x267.lo = 0.12;
x268.lo = 0.12;
x269.lo = 0.12;
x270.lo = 0.12;
x271.lo = 0.12;
x272.lo = 0.12;
x273.lo = 0.12;
x274.lo = 0.12;
x275.lo = 0.12;
x276.lo = 0.12;
x277.lo = 0.12;
x278.lo = 0.12;
x279.lo = 0.12;
x280.lo = 0.12;
x281.lo = 0.12;
x282.lo = 0.12;
x283.lo = 0.12;
x284.lo = 0.12;
x285.lo = 0.12;
x286.lo = 0.12;
x287.lo = 0.12;
x288.lo = 0.12;
x289.lo = 0.12;
x290.lo = 0.12;
x291.lo = 0.12;
x292.lo = 0.12;
x293.lo = 0.12;
x294.lo = 0.12;
x295.lo = 0.12;
x296.lo = 0.12;
x297.lo = 0.12;
x298.lo = 0.12;
x299.lo = 0.12;
x300.lo = 0.12;
x301.lo = 0.12;
x302.lo = 0.12;
x303.lo = 0.12;
x304.lo = 0.12;
x305.lo = 0.12;
x306.lo = 0.12;
x307.lo = 0.12;
x308.lo = 0.12;
x309.lo = 0.12;
x310.lo = 0.12;
x311.lo = 0.12;
x312.lo = 0.12;
x313.lo = 0.12;
x314.lo = 0.12;
x315.lo = 0.12;
x316.lo = 0.12;
x317.lo = 0.12;
x318.lo = 0.12;
x319.lo = 0.12;
x320.lo = 0.12;
x321.lo = 0.12;
x322.lo = 0.12;
x323.lo = 0.12;
x324.lo = 0.12;
x325.lo = 0.12;
x326.lo = 0.12;
x327.lo = 0.12;
x328.lo = 0.12;
x329.lo = 0.12;
x330.lo = 0.12;
x331.lo = 0.12;
x332.lo = 0.12;
x333.lo = 0.12;
x334.lo = 0.12;
x335.lo = 0.12;
x336.lo = 0.12;
x337.lo = 0.12;
x338.lo = 0.12;
x339.lo = 0.12;
x340.lo = 0.12;
x341.lo = 0.12;
x342.lo = 0.12;
x343.lo = 0.12;
x344.lo = 0.12;
x345.lo = 0.12;
x346.lo = 0.12;
x347.lo = 0.12;
x348.lo = 0.12;
x349.lo = 0.12;
x350.lo = 0.12;
x351.lo = 0.12;
x352.lo = 0.12;
x353.lo = 0.12;
x354.lo = 0.12;
x355.lo = 0.12;
x356.lo = 0.12;
x357.lo = 0.12;
x358.lo = 0.12;
x359.lo = 0.12;
x360.lo = 0.12;
x361.lo = 0.12;
x362.lo = 0.12;
x363.lo = 0.12;
x364.lo = 0.12;
x365.lo = 0.12;
x366.lo = 0.12;
x367.lo = 0.12;
x368.lo = 0.12;
x369.lo = 0.12;
x370.lo = 0.12;
x371.lo = 0.12;
x372.lo = 0.12;
x373.lo = 0.12;
x374.lo = 0.12;
x375.lo = 0.12;
x376.lo = 0.12;
x377.lo = 0.12;
x378.lo = 0.12;
x379.lo = 0.12;
x380.lo = 0.12;
x381.lo = 0.12;
x382.lo = 0.12;
x383.lo = 0.12;
x384.lo = 0.12;
x385.lo = 0.12;
x386.lo = 0.12;
x387.lo = 0.12;
x388.lo = 0.12;
x389.lo = 0.12;
x390.lo = 0.12;
x391.lo = 0.12;
x392.lo = 0.12;
x393.lo = 0.12;

* set non-default levels
x2.l = 0.003472222222;
x3.l = 0.003472222222;
x4.l = 0.003472222222;
x5.l = 0.003472222222;
x6.l = 0.003472222222;
x7.l = 0.003472222222;
x8.l = 0.003472222222;
x9.l = 0.003472222222;
x10.l = 0.003472222222;
x11.l = 0.003472222222;
x12.l = 0.003472222222;
x13.l = 0.003472222222;
x14.l = 0.003472222222;
x15.l = 0.003472222222;
x16.l = 0.003472222222;
x17.l = 0.003472222222;
x18.l = 0.003472222222;
x19.l = 0.003472222222;
x20.l = 0.003472222222;
x21.l = 0.003472222222;
x22.l = 0.003472222222;
x23.l = 0.003472222222;
x24.l = 0.003472222222;
x25.l = 0.003472222222;
x26.l = 0.003472222222;
x27.l = 0.003472222222;
x28.l = 0.003472222222;
x29.l = 0.003472222222;
x30.l = 0.003472222222;
x31.l = 0.003472222222;
x32.l = 0.003472222222;
x33.l = 0.003472222222;
x34.l = 0.003472222222;
x35.l = 0.003472222222;
x36.l = 0.003472222222;
x37.l = 0.003472222222;
x38.l = 0.003472222222;
x39.l = 0.003472222222;
x40.l = 0.003472222222;
x41.l = 0.003472222222;
x42.l = 0.003472222222;
x43.l = 0.003472222222;
x44.l = 0.003472222222;
x45.l = 0.003472222222;
x46.l = 0.003472222222;
x47.l = 0.003472222222;
x48.l = 0.003472222222;
x49.l = 0.003472222222;
x50.l = 0.003472222222;
x51.l = 0.003472222222;
x52.l = 0.003472222222;
x53.l = 0.003472222222;
x54.l = 0.003472222222;
x55.l = 0.003472222222;
x56.l = 0.003472222222;
x57.l = 0.003472222222;
x58.l = 0.003472222222;
x59.l = 0.003472222222;
x60.l = 0.003472222222;
x61.l = 0.003472222222;
x62.l = 0.003472222222;
x63.l = 0.003472222222;
x64.l = 0.003472222222;
x65.l = 0.003472222222;
x66.l = 0.003472222222;
x67.l = 0.003472222222;
x68.l = 0.003472222222;
x69.l = 0.003472222222;
x70.l = 0.003472222222;
x71.l = 0.003472222222;
x72.l = 0.003472222222;
x73.l = 0.003472222222;
x74.l = 0.003472222222;
x75.l = 0.003472222222;
x76.l = 0.003472222222;
x77.l = 0.003472222222;
x78.l = 0.003472222222;
x79.l = 0.003472222222;
x80.l = 0.003472222222;
x81.l = 0.003472222222;
x82.l = 0.003472222222;
x83.l = 0.003472222222;
x84.l = 0.003472222222;
x85.l = 0.003472222222;
x86.l = 0.003472222222;
x87.l = 0.003472222222;
x88.l = 0.003472222222;
x89.l = 0.003472222222;
x90.l = 0.003472222222;
x91.l = 0.003472222222;
x92.l = 0.003472222222;
x93.l = 0.003472222222;
x94.l = 0.003472222222;
x95.l = 0.003472222222;
x96.l = 0.003472222222;
x97.l = 0.003472222222;
x98.l = 0.003472222222;
x99.l = 0.003472222222;
x100.l = 0.003472222222;
x101.l = 0.003472222222;
x102.l = 0.003472222222;
x103.l = 0.003472222222;
x104.l = 0.003472222222;
x105.l = 0.003472222222;
x106.l = 0.003472222222;
x107.l = 0.003472222222;
x108.l = 0.003472222222;
x109.l = 0.003472222222;
x110.l = 0.003472222222;
x111.l = 0.003472222222;
x112.l = 0.003472222222;
x113.l = 0.003472222222;
x114.l = 0.003472222222;
x115.l = 0.003472222222;
x116.l = 0.003472222222;
x117.l = 0.003472222222;
x118.l = 0.003472222222;
x119.l = 0.003472222222;
x120.l = 0.003472222222;
x121.l = 0.003472222222;
x122.l = 0.003472222222;
x123.l = 0.003472222222;
x124.l = 0.003472222222;
x125.l = 0.003472222222;
x126.l = 0.003472222222;
x127.l = 0.003472222222;
x128.l = 0.003472222222;
x129.l = 0.003472222222;
x130.l = 0.003472222222;
x131.l = 0.003472222222;
x132.l = 0.003472222222;
x133.l = 0.003472222222;
x134.l = 0.003472222222;
x135.l = 0.003472222222;
x136.l = 0.003472222222;
x137.l = 0.003472222222;
x138.l = 0.003472222222;
x139.l = 0.003472222222;
x140.l = 0.003472222222;
x141.l = 0.003472222222;
x142.l = 0.003472222222;
x143.l = 0.003472222222;
x144.l = 0.003472222222;
x145.l = 0.003472222222;
x146.l = 0.003472222222;
x147.l = 0.003472222222;
x148.l = 0.003472222222;
x149.l = 0.003472222222;
x150.l = 0.003472222222;
x151.l = 0.003472222222;
x152.l = 0.003472222222;
x153.l = 0.003472222222;
x154.l = 0.003472222222;
x155.l = 0.003472222222;
x156.l = 0.003472222222;
x157.l = 0.003472222222;
x158.l = 0.003472222222;
x159.l = 0.003472222222;
x160.l = 0.003472222222;
x161.l = 0.003472222222;
x162.l = 0.003472222222;
x163.l = 0.003472222222;
x164.l = 0.003472222222;
x165.l = 0.003472222222;
x166.l = 0.003472222222;
x167.l = 0.003472222222;
x168.l = 0.003472222222;
x169.l = 0.003472222222;
x170.l = 0.003472222222;
x171.l = 0.003472222222;
x172.l = 0.003472222222;
x173.l = 0.003472222222;
x174.l = 0.003472222222;
x175.l = 0.003472222222;
x176.l = 0.003472222222;
x177.l = 0.003472222222;
x178.l = 0.003472222222;
x179.l = 0.003472222222;
x180.l = 0.003472222222;
x181.l = 0.003472222222;
x182.l = 0.003472222222;
x183.l = 0.003472222222;
x184.l = 0.003472222222;
x185.l = 0.003472222222;
x186.l = 0.003472222222;
x187.l = 0.003472222222;
x188.l = 0.003472222222;
x189.l = 0.003472222222;
x190.l = 0.003472222222;
x191.l = 0.003472222222;
x192.l = 0.003472222222;
x193.l = 0.003472222222;
x202.l = 0.12;
x203.l = 0.12;
x204.l = 0.12;
x205.l = 0.12;
x206.l = 0.12;
x207.l = 0.12;
x208.l = 0.12;
x209.l = 0.12;
x210.l = 0.12;
x211.l = 0.12;
x212.l = 0.12;
x213.l = 0.12;
x214.l = 0.12;
x215.l = 0.12;
x216.l = 0.12;
x217.l = 0.12;
x218.l = 0.12;
x219.l = 0.12;
x220.l = 0.12;
x221.l = 0.12;
x222.l = 0.12;
x223.l = 0.12;
x224.l = 0.12;
x225.l = 0.12;
x226.l = 0.12;
x227.l = 0.12;
x228.l = 0.12;
x229.l = 0.12;
x230.l = 0.12;
x231.l = 0.12;
x232.l = 0.12;
x233.l = 0.12;
x234.l = 0.12;
x235.l = 0.12;
x236.l = 0.12;
x237.l = 0.12;
x238.l = 0.12;
x239.l = 0.12;
x240.l = 0.12;
x241.l = 0.12;
x242.l = 0.12;
x243.l = 0.12;
x244.l = 0.12;
x245.l = 0.12;
x246.l = 0.12;
x247.l = 0.12;
x248.l = 0.12;
x249.l = 0.12;
x250.l = 0.12;
x251.l = 0.12;
x252.l = 0.12;
x253.l = 0.12;
x254.l = 0.12;
x255.l = 0.12;
x256.l = 0.12;
x257.l = 0.12;
x258.l = 0.12;
x259.l = 0.12;
x260.l = 0.12;
x261.l = 0.12;
x262.l = 0.12;
x263.l = 0.12;
x264.l = 0.12;
x265.l = 0.12;
x266.l = 0.12;
x267.l = 0.12;
x268.l = 0.12;
x269.l = 0.12;
x270.l = 0.12;
x271.l = 0.12;
x272.l = 0.12;
x273.l = 0.12;
x274.l = 0.12;
x275.l = 0.12;
x276.l = 0.12;
x277.l = 0.12;
x278.l = 0.12;
x279.l = 0.12;
x280.l = 0.12;
x281.l = 0.12;
x282.l = 0.12;
x283.l = 0.12;
x284.l = 0.12;
x285.l = 0.12;
x286.l = 0.12;
x287.l = 0.12;
x288.l = 0.12;
x289.l = 0.12;
x290.l = 0.12;
x291.l = 0.12;
x292.l = 0.12;
x293.l = 0.12;
x294.l = 0.12;
x295.l = 0.12;
x296.l = 0.12;
x297.l = 0.12;
x298.l = 0.12;
x299.l = 0.12;
x300.l = 0.12;
x301.l = 0.12;
x302.l = 0.12;
x303.l = 0.12;
x304.l = 0.12;
x305.l = 0.12;
x306.l = 0.12;
x307.l = 0.12;
x308.l = 0.12;
x309.l = 0.12;
x310.l = 0.12;
x311.l = 0.12;
x312.l = 0.12;
x313.l = 0.12;
x314.l = 0.12;
x315.l = 0.12;
x316.l = 0.12;
x317.l = 0.12;
x318.l = 0.12;
x319.l = 0.12;
x320.l = 0.12;
x321.l = 0.12;
x322.l = 0.12;
x323.l = 0.12;
x324.l = 0.12;
x325.l = 0.12;
x326.l = 0.12;
x327.l = 0.12;
x328.l = 0.12;
x329.l = 0.12;
x330.l = 0.12;
x331.l = 0.12;
x332.l = 0.12;
x333.l = 0.12;
x334.l = 0.12;
x335.l = 0.12;
x336.l = 0.12;
x337.l = 0.12;
x338.l = 0.12;
x339.l = 0.12;
x340.l = 0.12;
x341.l = 0.12;
x342.l = 0.12;
x343.l = 0.12;
x344.l = 0.12;
x345.l = 0.12;
x346.l = 0.12;
x347.l = 0.12;
x348.l = 0.12;
x349.l = 0.12;
x350.l = 0.12;
x351.l = 0.12;
x352.l = 0.12;
x353.l = 0.12;
x354.l = 0.12;
x355.l = 0.12;
x356.l = 0.12;
x357.l = 0.12;
x358.l = 0.12;
x359.l = 0.12;
x360.l = 0.12;
x361.l = 0.12;
x362.l = 0.12;
x363.l = 0.12;
x364.l = 0.12;
x365.l = 0.12;
x366.l = 0.12;
x367.l = 0.12;
x368.l = 0.12;
x369.l = 0.12;
x370.l = 0.12;
x371.l = 0.12;
x372.l = 0.12;
x373.l = 0.12;
x374.l = 0.12;
x375.l = 0.12;
x376.l = 0.12;
x377.l = 0.12;
x378.l = 0.12;
x379.l = 0.12;
x380.l = 0.12;
x381.l = 0.12;
x382.l = 0.12;
x383.l = 0.12;
x384.l = 0.12;
x385.l = 0.12;
x386.l = 0.12;
x387.l = 0.12;
x388.l = 0.12;
x389.l = 0.12;
x390.l = 0.12;
x391.l = 0.12;
x392.l = 0.12;
x393.l = 0.12;

Model m / all /;

m.limrow=0; m.limcol=0;

$if NOT '%gams.u1%' == '' $include '%gams.u1%'

m.tolproj = 0.0;
$if not set MIQCP $set MIQCP MIQCP
Solve m using %MIQCP% minimizing objvar;





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